6376968000 has 560 divisors, whose sum is σ = 25439638224. Its totient is φ = 1567641600.

The previous prime is 6376967959. The next prime is 6376968011. The reversal of 6376968000 is 8696736.

6376968000 is a `hidden beast` number, since 637 + 6 + 9 + 6 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2908229184 + 3468738816 = 53928^2 + 58896^2 .

It is a super-3 number, since 3×6376968000³ (a number of 30 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 8423622 + ... + 8424378.

Almost surely, 2^6376968000 is an apocalyptic number.

6376968000 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 6376968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719819112).

6376968000 is an abundant number, since it is smaller than the sum of its proper divisors (19062670224).

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

6376968000 is a wasteful number, since it uses less digits than its factorization.

6376968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6376968000 is about 79855.9202564218. The cubic root of 6376968000 is about 1854.4056673499.

It can be divided in two parts, 63769 and 68000, that added together give a square (131769 = 363²).

The spelling of 6376968000 in words is "six billion, three hundred seventy-six million, nine hundred sixty-eight thousand".