64964880731520 has 2048 divisors, whose sum is σ = 302163886080000. Its totient is φ = 13063331635200.

The previous prime is 64964880731483. The next prime is 64964880731557. The reversal of 64964880731520 is 2513708846946.

64964880731520 is a `hidden beast` number, since 6 + 49 + 64 + 8 + 8 + 0 + 7 + 3 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (64964880731483) and next prime (64964880731557).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2021104569 + ... + 2021136711.

It is an arithmetic number, because the mean of its divisors is an integer number (147540960000).

It is a 1-persistent number, because it is pandigital, but 2⋅64964880731520 = 129929761463040 is not.

Almost surely, 2^{64964880731520} is an apocalyptic number.

64964880731520 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 64964880731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151081943040000).

64964880731520 is an abundant number, since it is smaller than the sum of its proper divisors (237199005348480).

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

64964880731520 is a wasteful number, since it uses less digits than its factorization.

64964880731520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32234 (or 32202 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 64964880731520 in words is "sixty-four trillion, nine hundred sixty-four billion, eight hundred eighty million, seven hundred thirty-one thousand, five hundred twenty".