64609940304 has 560 divisors, whose sum is σ = 239078448000. Its totient is φ = 16444560384.

The previous prime is 64609940063. The next prime is 64609940341. The reversal of 64609940304 is 40304990646.

It is a happy number.

64609940304 is a `hidden beast` number, since 6 + 4 + 609 + 9 + 4 + 0 + 30 + 4 = 666.

It is a super-2 number, since 2×64609940304² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64609940304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30780247 + ... + 30782345.

It is an arithmetic number, because the mean of its divisors is an integer number (426925800).

Almost surely, 2^64609940304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64609940304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119539224000).

64609940304 is an abundant number, since it is smaller than the sum of its proper divisors (174468507696).

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

64609940304 is a wasteful number, since it uses less digits than its factorization.

64609940304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 64609940304 in words is "sixty-four billion, six hundred nine million, nine hundred forty thousand, three hundred four".