8728590430464 has 288 divisors, whose sum is σ = 23978147975040. Its totient is φ = 2816757006336.

The previous prime is 8728590430463. The next prime is 8728590430523. The reversal of 8728590430464 is 4640340958278.

It is a junction number, because it is equal to n+sod(n) for n = 8728590430398 and 8728590430407.

It is not an unprimeable number, because it can be changed into a prime (8728590430463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6357312082 + ... + 6357313454.

Almost surely, 2^{8728590430464} 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 8728590430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989073987520).

8728590430464 is an abundant number, since it is smaller than the sum of its proper divisors (15249557544576).

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

8728590430464 is a wasteful number, since it uses less digits than its factorization.

8728590430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 8728590430464 in words is "eight trillion, seven hundred twenty-eight billion, five hundred ninety million, four hundred thirty thousand, four hundred sixty-four".