746202268900 has 81 divisors (see below), whose sum is σ = 1780073259643. Its totient is φ = 271311726400.

The previous prime is 746202268871. The next prime is 746202268901. The reversal of 746202268900 is 9862202647.

The square root of 746202268900 is 863830.

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 371717018596 + 374485250304 = 609686^2 + 611952^2 .

It is a super-2 number, since 2×746202268900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (746202268901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95017374 + ... + 95025226.

Almost surely, 2^746202268900 is an apocalyptic number.

746202268900 is the 863830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746202268900

746202268900 is an abundant number, since it is smaller than the sum of its proper divisors (1033870990743).

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

746202268900 is an equidigital number, since it uses as much as digits as its factorization.

746202268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 746202268900 in words is "seven hundred forty-six billion, two hundred two million, two hundred sixty-eight thousand, nine hundred".