7933464900 has 81 divisors (see below), whose sum is σ = 24875383351. Its totient is φ = 2114878080.

The previous prime is 7933464887. The next prime is 7933464923. The reversal of 7933464900 is 94643397.

The square root of 7933464900 is 89070.

It is a perfect power (a square), and thus also a powerful number.

7933464900 is a `hidden beast` number, since 79 + 33 + 464 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4473201924 + 3460262976 = 66882^2 + 58824^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2670616 + ... + 2673584.

Almost surely, 2^7933464900 is an apocalyptic number.

7933464900 is the 89070-th square number.

It is an amenable number.

7933464900 is an abundant number, since it is smaller than the sum of its proper divisors (16941918451).

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

7933464900 is a wasteful number, since it uses less digits than its factorization.

7933464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The cubic root of 7933464900 is about 1994.4399656660.

The spelling of 7933464900 in words is "seven billion, nine hundred thirty-three million, four hundred sixty-four thousand, nine hundred".