642044546640 has 960 divisors, whose sum is σ = 2568635596800. Its totient is φ = 140714496000.

The previous prime is 642044546629. The next prime is 642044546659. The reversal of 642044546640 is 46645440246.

642044546640 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 44 + 546 + 64 + 0 = 666.

642044546640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 3547207350 + ... + 3547207530.

It is an arithmetic number, because the mean of its divisors is an integer number (2675662080).

Almost surely, 2^642044546640 is an apocalyptic number.

642044546640 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 642044546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284317798400).

642044546640 is an abundant number, since it is smaller than the sum of its proper divisors (1926591050160).

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

642044546640 is a wasteful number, since it uses less digits than its factorization.

642044546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

Adding to 642044546640 its reverse (46645440246), we get a palindrome (688689986886).

The spelling of 642044546640 in words is "six hundred forty-two billion, forty-four million, five hundred forty-six thousand, six hundred forty".