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641868480 = 263251120261
BaseRepresentation
bin100110010000100…
…010001011000000
31122201210022000200
4212100202023000
52303304242410
6143405245200
721622535451
oct4620421300
91581708020
10641868480
112aa355320
1215ab63800
13a2c97a46
1461365128
153b53d3c0
hex264222c0

641868480 has 168 divisors, whose sum is σ = 2408584464. Its totient is φ = 155596800.

The previous prime is 641868467. The next prime is 641868511. The reversal of 641868480 is 84868146.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21550 + ... + 41810.

Almost surely, 2641868480 is an apocalyptic number.

641868480 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 641868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204292232).

641868480 is an abundant number, since it is smaller than the sum of its proper divisors (1766715984).

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

641868480 is a wasteful number, since it uses less digits than its factorization.

641868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20295 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 641868480 is about 25335.1234455252. The cubic root of 641868480 is about 862.6117107984.

The spelling of 641868480 in words is "six hundred forty-one million, eight hundred sixty-eight thousand, four hundred eighty".