64705536000 has 1344 divisors, whose sum is σ = 287061615360. Its totient is φ = 13683916800.

The previous prime is 64705535989. The next prime is 64705536011. The reversal of 64705536000 is 63550746.

64705536000 is a `hidden beast` number, since 6 + 47 + 0 + 5 + 5 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64705535989) and next prime (64705536011).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1096703971 + ... + 1096704029.

Almost surely, 2^64705536000 is an apocalyptic number.

64705536000 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 64705536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143530807680).

64705536000 is an abundant number, since it is smaller than the sum of its proper divisors (222356079360).

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

64705536000 is a wasteful number, since it uses less digits than its factorization.

64705536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 64705536000 in words is "sixty-four billion, seven hundred five million, five hundred thirty-six thousand".