64956988111680 has 672 divisors, whose sum is σ = 264731278755840. Its totient is φ = 14305590558720.

The previous prime is 64956988111669. The next prime is 64956988111721. The reversal of 64956988111680 is 8611188965946.

64956988111680 is a `hidden beast` number, since 6 + 49 + 569 + 8 + 8 + 1 + 1 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64956988111599 and 64956988111608.

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, 142888902 + ... + 143342778.

Almost surely, 2^{64956988111680} is an apocalyptic number.

64956988111680 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 64956988111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132365639377920).

64956988111680 is an abundant number, since it is smaller than the sum of its proper divisors (199774290644160).

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

64956988111680 is a wasteful number, since it uses less digits than its factorization.

64956988111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454167 (or 454154 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 64956988111680 in words is "sixty-four trillion, nine hundred fifty-six billion, nine hundred eighty-eight million, one hundred eleven thousand, six hundred eighty".