6377847840 has 864 divisors, whose sum is σ = 28939725360. Its totient is φ = 1263403008.

The previous prime is 6377847821. The next prime is 6377847841. The reversal of 6377847840 is 487487736.

6377847840 is a `hidden beast` number, since 63 + 7 + 78 + 478 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3979591056 + 2398256784 = 63084^2 + 48972^2 .

It is not an unprimeable number, because it can be changed into a prime (6377847841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15593556 + ... + 15593964.

Almost surely, 2^6377847840 is an apocalyptic number.

6377847840 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 6377847840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469862680).

6377847840 is an abundant number, since it is smaller than the sum of its proper divisors (22561877520).

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

6377847840 is a wasteful number, since it uses less digits than its factorization.

6377847840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 6377847840 is about 79861.4289879664. The cubic root of 6377847840 is about 1854.4909484872.

The spelling of 6377847840 in words is "six billion, three hundred seventy-seven million, eight hundred forty-seven thousand, eight hundred forty".