424779625872 has 960 divisors, whose sum is σ = 1543365218304. Its totient is φ = 110361968640.

The previous prime is 424779625841. The next prime is 424779625891. The reversal of 424779625872 is 278526977424.

It is a happy number.

424779625872 is a `hidden beast` number, since 4 + 2 + 47 + 7 + 9 + 6 + 2 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (94832640) is a multiple of the sum of its prime divisors (360).

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, 2200930608 + ... + 2200930800.

Almost surely, 2^424779625872 is an apocalyptic number.

424779625872 is a gapful number since it is divisible by the number (42) 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 424779625872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771682609152).

424779625872 is an abundant number, since it is smaller than the sum of its proper divisors (1118585592432).

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

424779625872 is a wasteful number, since it uses less digits than its factorization.

424779625872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 424779625872 in words is "four hundred twenty-four billion, seven hundred seventy-nine million, six hundred twenty-five thousand, eight hundred seventy-two".