463055521680 has 240 divisors, whose sum is σ = 1566967374336. Its totient is φ = 122542295040.

The previous prime is 463055521679. The next prime is 463055521699. The reversal of 463055521680 is 86125550364.

463055521680 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 5 + 552 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53141004 + ... + 53149716.

Almost surely, 2^463055521680 is an apocalyptic number.

463055521680 is a gapful number since it is divisible by the number (40) 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 463055521680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783483687168).

463055521680 is an abundant number, since it is smaller than the sum of its proper divisors (1103911852656).

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

463055521680 is a wasteful number, since it uses less digits than its factorization.

463055521680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 463055521680 in words is "four hundred sixty-three billion, fifty-five million, five hundred twenty-one thousand, six hundred eighty".