463793688576 has 117 divisors (see below), whose sum is σ = 1340062679631. Its totient is φ = 154554310656.

The previous prime is 463793688557. The next prime is 463793688581. The reversal of 463793688576 is 675886397364.

The square root of 463793688576 is 681024.

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

463793688576 is a `hidden beast` number, since 46 + 3 + 7 + 9 + 3 + 6 + 8 + 8 + 576 = 666.

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 8 ways as a sum of consecutive naturals, for example, 130754835 + ... + 130758381.

Almost surely, 2^463793688576 is an apocalyptic number.

463793688576 is the 681024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463793688576

463793688576 is an abundant number, since it is smaller than the sum of its proper divisors (876268991055).

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

463793688576 is an frugal number, since it uses more digits than its factorization.

463793688576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7124 (or 3552 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 463793688576 in words is "four hundred sixty-three billion, seven hundred ninety-three million, six hundred eighty-eight thousand, five hundred seventy-six".