642366996480 has 1024 divisors, whose sum is σ = 2557815321600. Its totient is φ = 151608360960.

The previous prime is 642366996463. The next prime is 642366996499. The reversal of 642366996480 is 84699663246.

642366996480 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 6 + 69 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2092400487 + ... + 2092400793.

It is an arithmetic number, because the mean of its divisors is an integer number (2497866525).

Almost surely, 2^642366996480 is an apocalyptic number.

642366996480 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 642366996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278907660800).

642366996480 is an abundant number, since it is smaller than the sum of its proper divisors (1915448325120).

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

642366996480 is a wasteful number, since it uses less digits than its factorization.

642366996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 642366996480 in words is "six hundred forty-two billion, three hundred sixty-six million, nine hundred ninety-six thousand, four hundred eighty".