7452868900 has 81 divisors (see below), whose sum is σ = 16526845209. Its totient is φ = 2917263360.

The previous prime is 7452868877. The next prime is 7452868903. The reversal of 7452868900 is 98682547.

The square root of 7452868900 is 86330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6957895396 + 494973504 = 83414^2 + 22248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7452868903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76833652 + ... + 76833748.

Almost surely, 2^7452868900 is an apocalyptic number.

7452868900 is the 86330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7452868900

7452868900 is an abundant number, since it is smaller than the sum of its proper divisors (9073976309).

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

7452868900 is an equidigital number, since it uses as much as digits as its factorization.

7452868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The cubic root of 7452868900 is about 1953.3249345066.

Multiplying 7452868900 by its sum of digits (49), we get a square (365190576100 = 604310²).

The spelling of 7452868900 in words is "seven billion, four hundred fifty-two million, eight hundred sixty-eight thousand, nine hundred".