8730417553984 has 189 divisors, whose sum is σ = 21277065461913. Its totient is φ = 3543404368896.

The previous prime is 8730417553981. The next prime is 8730417554011. The reversal of 8730417553984 is 4893557140378.

The square root of 8730417553984 is 2954728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1357411406400 + 7373006147584 = 1165080^2 + 2715328^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (8730417553981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3143829204 + ... + 3143831980.

Almost surely, 2^{8730417553984} is an apocalyptic number.

8730417553984 is the 2954728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8730417553984

8730417553984 is an abundant number, since it is smaller than the sum of its proper divisors (12546647907929).

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

8730417553984 is an frugal number, since it uses more digits than its factorization.

8730417553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 64.

Multiplying 8730417553984 by its sum of digits (64), we get a square (558746723454976 = 23637824²).

8730417553984 divided by its sum of digits (64) gives a square (136412774281 = 369341²).

The spelling of 8730417553984 in words is "eight trillion, seven hundred thirty billion, four hundred seventeen million, five hundred fifty-three thousand, nine hundred eighty-four".