642572708976 has 360 divisors, whose sum is σ = 2017590709680. Its totient is φ = 190711572480.

The previous prime is 642572708971. The next prime is 642572709013. The reversal of 642572708976 is 679807275246.

642572708976 is a `hidden beast` number, since 6 + 425 + 72 + 70 + 8 + 9 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642572708971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 321768010 + ... + 321770006.

It is an arithmetic number, because the mean of its divisors is an integer number (5604418638).

Almost surely, 2^642572708976 is an apocalyptic number.

642572708976 is a gapful number since it is divisible by the number (66) 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 642572708976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008795354840).

642572708976 is an abundant number, since it is smaller than the sum of its proper divisors (1375018000704).

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

642572708976 is a wasteful number, since it uses less digits than its factorization.

642572708976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

It can be divided in two parts, 64257270 and 8976, that added together give a palindrome (64266246).

The spelling of 642572708976 in words is "six hundred forty-two billion, five hundred seventy-two million, seven hundred eight thousand, nine hundred seventy-six".