712737730440 has 224 divisors, whose sum is σ = 2405388490200. Its totient is φ = 189984476160.

The previous prime is 712737730427. The next prime is 712737730469. The reversal of 712737730440 is 44037737217.

712737730440 is a `hidden beast` number, since 7 + 1 + 273 + 77 + 304 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 236248490916 + 476489239524 = 486054^2 + 690282^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 114566530 + ... + 114572750.

Almost surely, 2^712737730440 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 712737730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202694245100).

712737730440 is an abundant number, since it is smaller than the sum of its proper divisors (1692650759760).

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

712737730440 is a wasteful number, since it uses less digits than its factorization.

712737730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10179 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 712737730440 in words is "seven hundred twelve billion, seven hundred thirty-seven million, seven hundred thirty thousand, four hundred forty".