6377879040 has 320 divisors, whose sum is σ = 22174580736. Its totient is φ = 1554481152.

The previous prime is 6377879021. The next prime is 6377879041. The reversal of 6377879040 is 409787736.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6377879041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12679429 + ... + 12679931.

Almost surely, 2^6377879040 is an apocalyptic number.

6377879040 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 6377879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11087290368).

6377879040 is an abundant number, since it is smaller than the sum of its proper divisors (15796701696).

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

6377879040 is a wasteful number, since it uses less digits than its factorization.

6377879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 6377879040 is about 79861.6243260804. The cubic root of 6377879040 is about 1854.4939724970.

The spelling of 6377879040 in words is "six billion, three hundred seventy-seven million, eight hundred seventy-nine thousand, forty".