756472216321600 has 189 divisors, whose sum is σ = 1866467764068817. Its totient is φ = 301766405716480.

The previous prime is 756472216321583. The next prime is 756472216321649. The reversal of 756472216321600 is 6123612274657.

The square root of 756472216321600 is 27504040.

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., 272329997875776 + 484142218445824 = 16502424^2 + 22003232^2 .

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, 553381284117 + ... + 553381285483.

Almost surely, 2^{756472216321600} is an apocalyptic number.

756472216321600 is the 27504040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756472216321600

756472216321600 is an abundant number, since it is smaller than the sum of its proper divisors (1109995547747217).

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

756472216321600 is an frugal number, since it uses more digits than its factorization.

756472216321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 756472216321600 in words is "seven hundred fifty-six trillion, four hundred seventy-two billion, two hundred sixteen million, three hundred twenty-one thousand, six hundred".