7264152900 has 135 divisors (see below), whose sum is σ = 23572405549. Its totient is φ = 1935061920.

The previous prime is 7264152871. The next prime is 7264152991. The reversal of 7264152900 is 92514627.

The square root of 7264152900 is 85230.

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

7264152900 is a `hidden beast` number, since 7 + 2 + 641 + 5 + 2 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2615095044 + 4649057856 = 51138^2 + 68184^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7670227 + ... + 7671173.

Almost surely, 2^7264152900 is an apocalyptic number.

7264152900 is the 85230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7264152900

7264152900 is an abundant number, since it is smaller than the sum of its proper divisors (16308252649).

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

7264152900 is an equidigital number, since it uses as much as digits as its factorization.

7264152900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 7264152900 is about 1936.6969069839.

Multiplying 7264152900 by its sum of digits (36), we get a square (261509504400 = 511380²).

7264152900 divided by its sum of digits (36) gives a square (201782025 = 14205²).

The spelling of 7264152900 in words is "seven billion, two hundred sixty-four million, one hundred fifty-two thousand, nine hundred".