641292480 has 168 divisors, whose sum is σ = 2259994464. Its totient is φ = 166809600.

The previous prime is 641292467. The next prime is 641292493. The reversal of 641292480 is 84292146.

641292480 is a `hidden beast` number, since 641 + 2 + 9 + 2 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (641292467) and next prime (641292493).

It is a super-2 number, since 2×641292480² = 822512089809100800, which contains 22 as substring.

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

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, 115365 + ... + 120795.

It is an arithmetic number, because the mean of its divisors is an integer number (13452348).

Almost surely, 2^641292480 is an apocalyptic number.

641292480 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 641292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129997232).

641292480 is an abundant number, since it is smaller than the sum of its proper divisors (1618701984).

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

641292480 is a wasteful number, since it uses less digits than its factorization.

641292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 641292480 is about 25323.7532763214. The cubic root of 641292480 is about 862.3536033821.

The spelling of 641292480 in words is "six hundred forty-one million, two hundred ninety-two thousand, four hundred eighty".