64356561360 has 960 divisors, whose sum is σ = 296576017920. Its totient is φ = 12103188480.

The previous prime is 64356561337. The next prime is 64356561371. The reversal of 64356561360 is 6316565346.

64356561360 is a `hidden beast` number, since 6 + 4 + 3 + 56 + 561 + 36 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21161440 + ... + 21164480.

It is an arithmetic number, because the mean of its divisors is an integer number (308933352).

Almost surely, 2^64356561360 is an apocalyptic number.

64356561360 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 64356561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148288008960).

64356561360 is an abundant number, since it is smaller than the sum of its proper divisors (232219456560).

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

64356561360 is a wasteful number, since it uses less digits than its factorization.

64356561360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 64356561360 in words is "sixty-four billion, three hundred fifty-six million, five hundred sixty-one thousand, three hundred sixty".