746547840900 has 243 divisors, whose sum is σ = 2375390780581. Its totient is φ = 196114073280.

The previous prime is 746547840889. The next prime is 746547840923. The reversal of 746547840900 is 9048745647.

The square root of 746547840900 is 864030.

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

746547840900 is a `hidden beast` number, since 7 + 4 + 6 + 547 + 8 + 4 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 268757222724 + 477790618176 = 518418^2 + 691224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2151434527 + ... + 2151434873.

Almost surely, 2^746547840900 is an apocalyptic number.

746547840900 is the 864030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746547840900

746547840900 is an abundant number, since it is smaller than the sum of its proper divisors (1628842939681).

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

746547840900 is a wasteful number, since it uses less digits than its factorization.

746547840900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 746547840900 in words is "seven hundred forty-six billion, five hundred forty-seven million, eight hundred forty thousand, nine hundred".