6421961572800 has 168 divisors, whose sum is σ = 21102265259952. Its totient is φ = 1709850624000.

The previous prime is 6421961572799. The next prime is 6421961572877. The reversal of 6421961572800 is 82751691246.

It is a congruent number.

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, 2033190 + ... + 4120410.

Almost surely, 2^{6421961572800} is an apocalyptic number.

6421961572800 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 6421961572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551132629976).

6421961572800 is an abundant number, since it is smaller than the sum of its proper divisors (14680303687152).

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

6421961572800 is a wasteful number, since it uses less digits than its factorization.

6421961572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087887 (or 2087872 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 6421961572800 in words is "six trillion, four hundred twenty-one billion, nine hundred sixty-one million, five hundred seventy-two thousand, eight hundred".