6491524900 has 81 divisors (see below), whose sum is σ = 16400712657. Its totient is φ = 2223732000.

The previous prime is 6491524867. The next prime is 6491524913. The reversal of 6491524900 is 94251946.

The square root of 6491524900 is 80570.

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

It can be written as a sum of positive squares in only one way, i.e., 2336948964 + 4154575936 = 48342^2 + 64456^2 .

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, 5639325 + ... + 5640475.

Almost surely, 2^6491524900 is an apocalyptic number.

6491524900 is the 80570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6491524900

6491524900 is an abundant number, since it is smaller than the sum of its proper divisors (9909187757).

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

6491524900 is a wasteful number, since it uses less digits than its factorization.

6491524900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The cubic root of 6491524900 is about 1865.4441126702. Note that the first 3 decimals are identical.

The spelling of 6491524900 in words is "six billion, four hundred ninety-one million, five hundred twenty-four thousand, nine hundred".