64959689621376 has 768 divisors, whose sum is σ = 217129449139200. Its totient is φ = 18434304000000.

The previous prime is 64959689621347. The next prime is 64959689621399. The reversal of 64959689621376 is 67312698695946.

64959689621376 is a `hidden beast` number, since 6 + 4 + 9 + 596 + 8 + 9 + 6 + 2 + 13 + 7 + 6 = 666.

It is a super-2 number, since 2×64959689621376² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64959689621295 and 64959689621304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18262491790 + ... + 18262495346.

It is an arithmetic number, because the mean of its divisors is an integer number (282720636900).

Almost surely, 2^{64959689621376} is an apocalyptic number.

64959689621376 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 64959689621376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564724569600).

64959689621376 is an abundant number, since it is smaller than the sum of its proper divisors (152169759517824).

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

64959689621376 is a wasteful number, since it uses less digits than its factorization.

64959689621376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4444 counting only the distinct ones).

The product of its digits is 6348948480, while the sum is 81.

The spelling of 64959689621376 in words is "sixty-four trillion, nine hundred fifty-nine billion, six hundred eighty-nine million, six hundred twenty-one thousand, three hundred seventy-six".