746936705025 has 81 divisors (see below), whose sum is σ = 1556459668803. Its totient is φ = 341415295200.

The previous prime is 746936704991. The next prime is 746936705057. The reversal of 746936705025 is 520507639647.

The square root of 746936705025 is 864255.

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

746936705025 is a `hidden beast` number, since 7 + 4 + 69 + 3 + 6 + 70 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 268897213809 + 478039491216 = 518553^2 + 691404^2 .

It is not a de Polignac number, because 746936705025 - 2¹¹ = 746936702977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 90742660 + ... + 90750890.

Almost surely, 2^746936705025 is an apocalyptic number.

746936705025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

746936705025 is the 864255-th square number.

746936705025 is the 432128-th centered octagonal number.

It is an amenable number.

746936705025 is an abundant number, since it is smaller than the sum of its proper divisors (809522963778).

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

746936705025 is an frugal number, since it uses more digits than its factorization.

746936705025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16492 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 746936705025 in words is "seven hundred forty-six billion, nine hundred thirty-six million, seven hundred five thousand, twenty-five".