64080812160 has 192 divisors, whose sum is σ = 221619392280. Its totient is φ = 17061937152.

The previous prime is 64080812111. The next prime is 64080812177. The reversal of 64080812160 is 6121808046.

64080812160 is a `hidden beast` number, since 640 + 8 + 0 + 8 + 1 + 2 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60787888704 + 3292923456 = 246552^2 + 57384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 3891304 + ... + 3907736.

Almost surely, 2^64080812160 is an apocalyptic number.

64080812160 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 64080812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110809696140).

64080812160 is an abundant number, since it is smaller than the sum of its proper divisors (157538580120).

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

64080812160 is a wasteful number, since it uses less digits than its factorization.

64080812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17135 (or 17120 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 64080812160 in words is "sixty-four billion, eighty million, eight hundred twelve thousand, one hundred sixty".