6377674320 has 200 divisors, whose sum is σ = 22211531496. Its totient is φ = 1696038912.

The previous prime is 6377674307. The next prime is 6377674333. The reversal of 6377674320 is 234767736.

6377674320 is a `hidden beast` number, since 637 + 7 + 6 + 7 + 4 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6377674307) and next prime (6377674333).

It can be written as a sum of positive squares in 4 ways, for example, as 645973056 + 5731701264 = 25416^2 + 75708^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2804704 + ... + 2806976.

Almost surely, 2^6377674320 is an apocalyptic number.

6377674320 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 6377674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105765748).

6377674320 is an abundant number, since it is smaller than the sum of its proper divisors (15833857176).

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

6377674320 is a wasteful number, since it uses less digits than its factorization.

6377674320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The square root of 6377674320 is about 79860.3425988143. The cubic root of 6377674320 is about 1854.4741301604.

The spelling of 6377674320 in words is "six billion, three hundred seventy-seven million, six hundred seventy-four thousand, three hundred twenty".