64090172160 has 1152 divisors, whose sum is σ = 273002526720. Its totient is φ = 13934592000.

The previous prime is 64090172147. The next prime is 64090172161. The reversal of 64090172160 is 6127109046.

64090172160 is a `hidden beast` number, since 640 + 9 + 0 + 1 + 7 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (64090172161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 634556110 + ... + 634556210.

It is an arithmetic number, because the mean of its divisors is an integer number (236981360).

Almost surely, 2^64090172160 is an apocalyptic number.

64090172160 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 64090172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136501263360).

64090172160 is an abundant number, since it is smaller than the sum of its proper divisors (208912354560).

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

64090172160 is a wasteful number, since it uses less digits than its factorization.

64090172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 64090172160 in words is "sixty-four billion, ninety million, one hundred seventy-two thousand, one hundred sixty".