642567562020 has 36 divisors (see below), whose sum is σ = 1949121605340. Its totient is φ = 171351349824.

The previous prime is 642567561997. The next prime is 642567562033. The reversal of 642567562020 is 20265765246.

642567562020 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 67 + 562 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82378184256 + 560189377764 = 287016^2 + 748458^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1784909715 + ... + 1784910074.

It is an arithmetic number, because the mean of its divisors is an integer number (54142266815).

Almost surely, 2^642567562020 is an apocalyptic number.

642567562020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642567562020 is an abundant number, since it is smaller than the sum of its proper divisors (1306554043320).

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

642567562020 is a wasteful number, since it uses less digits than its factorization.

642567562020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569819804 (or 3569819799 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 642567562020 in words is "six hundred forty-two billion, five hundred sixty-seven million, five hundred sixty-two thousand, twenty".