7626528900 has 243 divisors, whose sum is σ = 24852160879. Its totient is φ = 1956192000.

The previous prime is 7626528857. The next prime is 7626528907. The reversal of 7626528900 is 98256267.

The square root of 7626528900 is 87330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3210128964 + 4416399936 = 56658^2 + 66456^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7626528907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 107415865 + ... + 107415935.

Almost surely, 2^7626528900 is an apocalyptic number.

7626528900 is the 87330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7626528900

7626528900 is an abundant number, since it is smaller than the sum of its proper divisors (17225631979).

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

7626528900 is a wasteful number, since it uses less digits than its factorization.

7626528900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 7626528900 is about 1968.3801349025.

The spelling of 7626528900 in words is "seven billion, six hundred twenty-six million, five hundred twenty-eight thousand, nine hundred".