731327790720 has 1024 divisors, whose sum is σ = 2584053964800. Its totient is φ = 175489155072.

The previous prime is 731327790671. The next prime is 731327790737. The reversal of 731327790720 is 27097723137.

It is a super-2 number, since 2×731327790720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 731327790720.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7539461712 + ... + 7539461808.

It is an arithmetic number, because the mean of its divisors is an integer number (2523490200).

Almost surely, 2^731327790720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731327790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292026982400).

731327790720 is an abundant number, since it is smaller than the sum of its proper divisors (1852726174080).

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

731327790720 is a wasteful number, since it uses less digits than its factorization.

731327790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 777924, while the sum is 48.

The spelling of 731327790720 in words is "seven hundred thirty-one billion, three hundred twenty-seven million, seven hundred ninety thousand, seven hundred twenty".