5872707456 has 512 divisors, whose sum is σ = 20680704000. Its totient is φ = 1432166400.

The previous prime is 5872707439. The next prime is 5872707493. The reversal of 5872707456 is 6547072785.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 5872707399 and 5872707408.

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, 39414070 + ... + 39414218.

It is an arithmetic number, because the mean of its divisors is an integer number (40392000).

Almost surely, 2^5872707456 is an apocalyptic number.

5872707456 is a gapful number since it is divisible by the number (56) 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 5872707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340352000).

5872707456 is an abundant number, since it is smaller than the sum of its proper divisors (14807996544).

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

5872707456 is a wasteful number, since it uses less digits than its factorization.

5872707456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The square root of 5872707456 is about 76633.5922164686. The cubic root of 5872707456 is about 1804.1783033613.

The spelling of 5872707456 in words is "five billion, eight hundred seventy-two million, seven hundred seven thousand, four hundred fifty-six".