64712935280520 has 192 divisors, whose sum is σ = 218147074629120. Its totient is φ = 17253577165824.

The previous prime is 64712935280473. The next prime is 64712935280531. The reversal of 64712935280520 is 2508253921746.

64712935280520 is a `hidden beast` number, since 6 + 4 + 7 + 1 + 2 + 9 + 35 + 2 + 80 + 520 = 666.

64712935280520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51940384 + ... + 53171696.

It is an arithmetic number, because the mean of its divisors is an integer number (1136182680360).

It is a 1-persistent number, because it is pandigital, but 2⋅64712935280520 = 129425870561040 is not.

Almost surely, 2^{64712935280520} is an apocalyptic number.

64712935280520 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 64712935280520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109073537314560).

64712935280520 is an abundant number, since it is smaller than the sum of its proper divisors (153434139348600).

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

64712935280520 is a wasteful number, since it uses less digits than its factorization.

64712935280520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236746 (or 1236730 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 64712935280520 in words is "sixty-four trillion, seven hundred twelve billion, nine hundred thirty-five million, two hundred eighty thousand, five hundred twenty".