6276712680 has 320 divisors, whose sum is σ = 24341328000. Its totient is φ = 1420955136.

The previous prime is 6276712667. The next prime is 6276712703. The reversal of 6276712680 is 862176726.

6276712680 is a `hidden beast` number, since 627 + 6 + 7 + 12 + 6 + 8 + 0 = 666.

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

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, 2470851 + ... + 2473389.

It is an arithmetic number, because the mean of its divisors is an integer number (76066650).

Almost surely, 2^6276712680 is an apocalyptic number.

6276712680 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 6276712680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170664000).

6276712680 is an abundant number, since it is smaller than the sum of its proper divisors (18064615320).

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

6276712680 is a wasteful number, since it uses less digits than its factorization.

6276712680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6276712680 is about 79225.7071915423. The cubic root of 6276712680 is about 1844.6362955495.

The spelling of 6276712680 in words is "six billion, two hundred seventy-six million, seven hundred twelve thousand, six hundred eighty".