746753038080 has 576 divisors, whose sum is σ = 2871149568000. Its totient is φ = 165171363840.

The previous prime is 746753038079. The next prime is 746753038093. The reversal of 746753038080 is 80830357647.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40821576 + ... + 40839864.

Almost surely, 2^746753038080 is an apocalyptic number.

746753038080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746753038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435574784000).

746753038080 is an abundant number, since it is smaller than the sum of its proper divisors (2124396529920).

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

746753038080 is a wasteful number, since it uses less digits than its factorization.

746753038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18365 (or 18337 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 746753038080 in words is "seven hundred forty-six billion, seven hundred fifty-three million, thirty-eight thousand, eighty".