642464420544 has 168 divisors, whose sum is σ = 1906162050000. Its totient is φ = 206644967424.

The previous prime is 642464420513. The next prime is 642464420557. The reversal of 642464420544 is 445024464246.

642464420544 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 64 + 42 + 0 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 642464420544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29872707 + ... + 29894205.

Almost surely, 2^642464420544 is an apocalyptic number.

642464420544 is a gapful number since it is divisible by the number (64) 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 642464420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953081025000).

642464420544 is an abundant number, since it is smaller than the sum of its proper divisors (1263697629456).

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

642464420544 is a wasteful number, since it uses less digits than its factorization.

642464420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23335 (or 23322 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 642464420544 in words is "six hundred forty-two billion, four hundred sixty-four million, four hundred twenty thousand, five hundred forty-four".