7372146564 has 36 divisors (see below), whose sum is σ = 18685142476. Its totient is φ = 2450789568.

The previous prime is 7372146539. The next prime is 7372146571. The reversal of 7372146564 is 4656412737.

7372146564 is a `hidden beast` number, since 7 + 3 + 72 + 14 + 6 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4880140164 + 2492006400 = 69858^2 + 49920^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7372146564² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261079 + ... + 287934.

Almost surely, 2^7372146564 is an apocalyptic number.

It is an amenable number.

7372146564 is an abundant number, since it is smaller than the sum of its proper divisors (11312995912).

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

7372146564 is a wasteful number, since it uses less digits than its factorization.

7372146564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549396 (or 549391 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 7372146564 is about 85861.2052326311. The cubic root of 7372146564 is about 1946.2471379012.

The spelling of 7372146564 in words is "seven billion, three hundred seventy-two million, one hundred forty-six thousand, five hundred sixty-four".