64735212960 has 360 divisors, whose sum is σ = 251124763428. Its totient is φ = 15693004800.

The previous prime is 64735212959. The next prime is 64735212977. The reversal of 64735212960 is 6921253746.

64735212960 is a `hidden beast` number, since 6 + 4 + 7 + 352 + 1 + 296 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64031265936 + 703947024 = 253044^2 + 26532^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1547520 + ... + 1588800.

Almost surely, 2^64735212960 is an apocalyptic number.

64735212960 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 64735212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125562381714).

64735212960 is an abundant number, since it is smaller than the sum of its proper divisors (186389550468).

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

64735212960 is a wasteful number, since it uses less digits than its factorization.

64735212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41330 (or 41302 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 64735212960 in words is "sixty-four billion, seven hundred thirty-five million, two hundred twelve thousand, nine hundred sixty".