842479553664 has 768 divisors, whose sum is σ = 2943715756800. Its totient is φ = 234877501440.

The previous prime is 842479553659. The next prime is 842479553683. The reversal of 842479553664 is 466355974248.

842479553664 is a `hidden beast` number, since 8 + 4 + 2 + 4 + 7 + 95 + 536 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3041442294 + ... + 3041442570.

It is an arithmetic number, because the mean of its divisors is an integer number (3832963225).

Almost surely, 2^842479553664 is an apocalyptic number.

842479553664 is a gapful number since it is divisible by the number (84) 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 842479553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471857878400).

842479553664 is an abundant number, since it is smaller than the sum of its proper divisors (2101236203136).

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

842479553664 is a wasteful number, since it uses less digits than its factorization.

842479553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 579 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 842479553664 in words is "eight hundred forty-two billion, four hundred seventy-nine million, five hundred fifty-three thousand, six hundred sixty-four".