872631960480 has 1440 divisors, whose sum is σ = 3894330908160. Its totient is φ = 182787010560.

The previous prime is 872631960433. The next prime is 872631960523. The reversal of 872631960480 is 84069136278.

872631960480 is a `hidden beast` number, since 8 + 7 + 26 + 3 + 1 + 9 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×872631960480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 374037394 + ... + 374039726.

It is an arithmetic number, because the mean of its divisors is an integer number (2704396464).

Almost surely, 2^872631960480 is an apocalyptic number.

872631960480 is a gapful number since it is divisible by the number (80) 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 872631960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947165454080).

872631960480 is an abundant number, since it is smaller than the sum of its proper divisors (3021698947680).

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

872631960480 is a wasteful number, since it uses less digits than its factorization.

872631960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 872631960480 in words is "eight hundred seventy-two billion, six hundred thirty-one million, nine hundred sixty thousand, four hundred eighty".