6420157900800 has 1152 divisors, whose sum is σ = 25336190880000. Its totient is φ = 1403120517120.

The previous prime is 6420157900789. The next prime is 6420157900883. The reversal of 6420157900800 is 80097510246.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3398706256 + ... + 3398708144.

It is an arithmetic number, because the mean of its divisors is an integer number (21993221250).

Almost surely, 2^{6420157900800} is an apocalyptic number.

6420157900800 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 6420157900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668095440000).

6420157900800 is an abundant number, since it is smaller than the sum of its proper divisors (18916032979200).

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

6420157900800 is a wasteful number, since it uses less digits than its factorization.

6420157900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 6420157900800 in words is "six trillion, four hundred twenty billion, one hundred fifty-seven million, nine hundred thousand, eight hundred".