420079537584 has 320 divisors, whose sum is σ = 1442757657600. Its totient is φ = 114485833728.

The previous prime is 420079537567. The next prime is 420079537607. The reversal of 420079537584 is 485735970024.

It is a happy number.

420079537584 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 7 + 9 + 53 + 7 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420079537584.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7249912 + ... + 7307624.

It is an arithmetic number, because the mean of its divisors is an integer number (4508617680).

Almost surely, 2^420079537584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420079537584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721378828800).

420079537584 is an abundant number, since it is smaller than the sum of its proper divisors (1022678120016).

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

420079537584 is a wasteful number, since it uses less digits than its factorization.

420079537584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57849 (or 57837 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 420079537584 in words is "four hundred twenty billion, seventy-nine million, five hundred thirty-seven thousand, five hundred eighty-four".