715800084480 has 896 divisors, whose sum is σ = 2779807532040. Its totient is φ = 175814737920.

The previous prime is 715800084479. The next prime is 715800084481. The reversal of 715800084480 is 84480008517.

715800084480 is a `hidden beast` number, since 7 + 15 + 80 + 0 + 0 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (715800084479) and next prime (715800084481).

It can be written as a sum of positive squares in 4 ways, for example, as 382695653376 + 333104431104 = 618624^2 + 577152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (715800084481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1552711450 + ... + 1552711910.

Almost surely, 2^715800084480 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 715800084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389903766020).

715800084480 is an abundant number, since it is smaller than the sum of its proper divisors (2064007447560).

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

715800084480 is an frugal number, since it uses more digits than its factorization.

715800084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 715800084480 in words is "seven hundred fifteen billion, eight hundred million, eighty-four thousand, four hundred eighty".