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640176480 = 253351723379
BaseRepresentation
bin100110001010000…
…101000101100000
31122121121100001000
4212022011011200
52302341121410
6143305112000
721602260506
oct4612050540
91577540030
10640176480
112a93aa079
1215a488600
13a2824868
1461044676
153b306dc0
hex26285160

640176480 has 384 divisors, whose sum is σ = 2482099200. Its totient is φ = 153280512.

The previous prime is 640176473. The next prime is 640176487. The reversal of 640176480 is 84671046.

640176480 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 7 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (640176473) and next prime (640176487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640176487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1688931 + ... + 1689309.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2640176480 is an apocalyptic number.

640176480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

640176480 is an abundant number, since it is smaller than the sum of its proper divisors (1841922720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640176480 is a wasteful number, since it uses less digits than its factorization.

640176480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 640176480 is about 25301.7090331859. The cubic root of 640176480 is about 861.8530801151.

The spelling of 640176480 in words is "six hundred forty million, one hundred seventy-six thousand, four hundred eighty".