64959015993696 has 672 divisors, whose sum is σ = 215170603200000. Its totient is φ = 19128194841600.

The previous prime is 64959015993667. The next prime is 64959015993701. The reversal of 64959015993696 is 69639951095946.

64959015993696 is a `hidden beast` number, since 6 + 4 + 9 + 590 + 15 + 9 + 9 + 3 + 6 + 9 + 6 = 666.

It is a super-3 number, since 3×64959015993696³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1299181305 + ... + 1299231303.

It is an arithmetic number, because the mean of its divisors is an integer number (320194350000).

Almost surely, 2^{64959015993696} is an apocalyptic number.

64959015993696 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 64959015993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107585301600000).

64959015993696 is an abundant number, since it is smaller than the sum of its proper divisors (150211587206304).

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

64959015993696 is a wasteful number, since it uses less digits than its factorization.

64959015993696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50182 (or 50159 counting only the distinct ones).

The product of its (nonzero) digits is 3826375200, while the sum is 81.

The spelling of 64959015993696 in words is "sixty-four trillion, nine hundred fifty-nine billion, fifteen million, nine hundred ninety-three thousand, six hundred ninety-six".