642624222024 has 128 divisors (see below), whose sum is σ = 1800381340800. Its totient is φ = 212374379520.

The previous prime is 642624222011. The next prime is 642624222047. The reversal of 642624222024 is 420222426246.

642624222024 is a `hidden beast` number, since 6 + 4 + 2 + 624 + 2 + 2 + 2 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 642624222024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23985724 + ... + 24012500.

It is an arithmetic number, because the mean of its divisors is an integer number (14065479225).

Almost surely, 2^642624222024 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 642624222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900190670400).

642624222024 is an abundant number, since it is smaller than the sum of its proper divisors (1157757118776).

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

642624222024 is a wasteful number, since it uses less digits than its factorization.

642624222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27740 (or 27730 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 642624222024 in words is "six hundred forty-two billion, six hundred twenty-four million, two hundred twenty-two thousand, twenty-four".