874462417920 has 3520 divisors, whose sum is σ = 4314271610880. Its totient is φ = 164093755392.

The previous prime is 874462417919. The next prime is 874462417979. The reversal of 874462417920 is 29714264478.

874462417920 is a `hidden beast` number, since 8 + 7 + 4 + 4 + 624 + 1 + 7 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18605583337 + ... + 18605583383.

It is an arithmetic number, because the mean of its divisors is an integer number (1225645344).

Almost surely, 2^874462417920 is an apocalyptic number.

874462417920 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 874462417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157135805440).

874462417920 is an abundant number, since it is smaller than the sum of its proper divisors (3439809192960).

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

874462417920 is a wasteful number, since it uses less digits than its factorization.

874462417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 874462417920 in words is "eight hundred seventy-four billion, four hundred sixty-two million, four hundred seventeen thousand, nine hundred twenty".