752466032704 has 63 divisors (see below), whose sum is σ = 1546852752237. Its totient is φ = 363162309888.

The previous prime is 752466032677. The next prime is 752466032707. The reversal of 752466032704 is 407230664257.

The square root of 752466032704 is 867448.

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., 394574935104 + 357891097600 = 628152^2 + 598240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (752466032707) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 201246067 + ... + 201249805.

Almost surely, 2^752466032704 is an apocalyptic number.

752466032704 is the 867448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752466032704

752466032704 is an abundant number, since it is smaller than the sum of its proper divisors (794386719533).

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

752466032704 is an frugal number, since it uses more digits than its factorization.

752466032704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 752466032704 in words is "seven hundred fifty-two billion, four hundred sixty-six million, thirty-two thousand, seven hundred four".