642026941920 has 576 divisors, whose sum is σ = 2838445908480. Its totient is φ = 128330625024.

The previous prime is 642026941867. The next prime is 642026941961. The reversal of 642026941920 is 29149620246.

642026941920 is a `hidden beast` number, since 6 + 4 + 202 + 6 + 9 + 419 + 20 = 666.

It is a super-2 number, since 2×642026941920² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 2360827 + ... + 2618693.

It is an arithmetic number, because the mean of its divisors is an integer number (4927857480).

Almost surely, 2^642026941920 is an apocalyptic number.

642026941920 is a gapful number since it is divisible by the number (60) 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 642026941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419222954240).

642026941920 is an abundant number, since it is smaller than the sum of its proper divisors (2196418966560).

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

642026941920 is a wasteful number, since it uses less digits than its factorization.

642026941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257927 (or 257916 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 642026941920 in words is "six hundred forty-two billion, twenty-six million, nine hundred forty-one thousand, nine hundred twenty".