641462976 has 280 divisors, whose sum is σ = 2372173056. Its totient is φ = 166510080.

The previous prime is 641462959. The next prime is 641463013. The reversal of 641462976 is 679264146.

641462976 is a `hidden beast` number, since 6 + 4 + 14 + 629 + 7 + 6 = 666.

641462976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641462976² = 822949499157553152, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 398365 + ... + 399971.

Almost surely, 2^641462976 is an apocalyptic number.

641462976 is a gapful number since it is divisible by the number (66) 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 641462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186086528).

641462976 is an abundant number, since it is smaller than the sum of its proper divisors (1730710080).

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

641462976 is a wasteful number, since it uses less digits than its factorization.

641462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1630 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 641462976 is about 25327.1193782475. The cubic root of 641462976 is about 862.4300192749.

The spelling of 641462976 in words is "six hundred forty-one million, four hundred sixty-two thousand, nine hundred seventy-six".