6377890400 has 144 divisors (see below), whose sum is σ = 18368824320. Its totient is φ = 2116108800.

The previous prime is 6377890397. The next prime is 6377890403. The reversal of 6377890400 is 40987736.

It is an interprime number because it is at equal distance from previous prime (6377890397) and next prime (6377890403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6377890403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155231 + ... + 191969.

It is an arithmetic number, because the mean of its divisors is an integer number (127561280).

Almost surely, 2^6377890400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6377890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9184412160).

6377890400 is an abundant number, since it is smaller than the sum of its proper divisors (11990933920).

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

6377890400 is a wasteful number, since it uses less digits than its factorization.

6377890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36797 (or 36784 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 6377890400 is about 79861.6954490700. The cubic root of 6377890400 is about 1854.4950735443.

The spelling of 6377890400 in words is "six billion, three hundred seventy-seven million, eight hundred ninety thousand, four hundred".