746357766400 has 81 divisors (see below), whose sum is σ = 1847523173041. Its totient is φ = 298515461120.

The previous prime is 746357766331. The next prime is 746357766431. The reversal of 746357766400 is 4667753647.

The square root of 746357766400 is 863920.

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., 268688795904 + 477668970496 = 518352^2 + 691136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69108201 + ... + 69118999.

Almost surely, 2^746357766400 is an apocalyptic number.

746357766400 is the 863920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746357766400

746357766400 is an abundant number, since it is smaller than the sum of its proper divisors (1101165406641).

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

746357766400 is an frugal number, since it uses more digits than its factorization.

746357766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21624 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 55.

The spelling of 746357766400 in words is "seven hundred forty-six billion, three hundred fifty-seven million, seven hundred sixty-six thousand, four hundred".