64168090272 has 384 divisors, whose sum is σ = 227471328000. Its totient is φ = 17329213440.

The previous prime is 64168090247. The next prime is 64168090313. The reversal of 64168090272 is 27209086146.

It is a happy number.

64168090272 is a `hidden beast` number, since 6 + 416 + 80 + 90 + 2 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3574054 + ... + 3591962.

It is an arithmetic number, because the mean of its divisors is an integer number (592373250).

Almost surely, 2^64168090272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64168090272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113735664000).

64168090272 is an abundant number, since it is smaller than the sum of its proper divisors (163303237728).

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

64168090272 is a wasteful number, since it uses less digits than its factorization.

64168090272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17981 (or 17967 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 64168090272 in words is "sixty-four billion, one hundred sixty-eight million, ninety thousand, two hundred seventy-two".