6377872901400 has 3456 divisors, whose sum is σ = 32053608437760. Its totient is φ = 1099970150400.

The previous prime is 6377872901381. The next prime is 6377872901437. The reversal of 6377872901400 is 41092787736.

6377872901400 is a `hidden beast` number, since 6 + 3 + 77 + 87 + 2 + 90 + 1 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 7749541389 + ... + 7749542211.

It is an arithmetic number, because the mean of its divisors is an integer number (9274770960).

Almost surely, 2^{6377872901400} is an apocalyptic number.

6377872901400 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 6377872901400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026804218880).

6377872901400 is an abundant number, since it is smaller than the sum of its proper divisors (25675735536360).

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

6377872901400 is a wasteful number, since it uses less digits than its factorization.

6377872901400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 6377872901400 in words is "six trillion, three hundred seventy-seven billion, eight hundred seventy-two million, nine hundred one thousand, four hundred".