8488373490576 has 960 divisors, whose sum is σ = 30140737536000. Its totient is φ = 2175707381760.

The previous prime is 8488373490523. The next prime is 8488373490589. The reversal of 8488373490576 is 6750943738848.

8488373490576 is a `hidden beast` number, since 8 + 4 + 8 + 8 + 3 + 7 + 3 + 49 + 0 + 576 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6024394960 + ... + 6024396368.

It is an arithmetic number, because the mean of its divisors is an integer number (31396601600).

Almost surely, 2^{8488373490576} 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 8488373490576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070368768000).

8488373490576 is an abundant number, since it is smaller than the sum of its proper divisors (21652364045424).

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

8488373490576 is a wasteful number, since it uses less digits than its factorization.

8488373490576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 8488373490576 in words is "eight trillion, four hundred eighty-eight billion, three hundred seventy-three million, four hundred ninety thousand, five hundred seventy-six".