6270978960 has 320 divisors, whose sum is σ = 22344284160. Its totient is φ = 1615541760.

The previous prime is 6270978947. The next prime is 6270978971. The reversal of 6270978960 is 698790726.

6270978960 is a `hidden beast` number, since 627 + 0 + 9 + 7 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6270978897 and 6270978906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9937845 + ... + 9938475.

It is an arithmetic number, because the mean of its divisors is an integer number (69825888).

Almost surely, 2^6270978960 is an apocalyptic number.

6270978960 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 6270978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172142080).

6270978960 is an abundant number, since it is smaller than the sum of its proper divisors (16073305200).

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

6270978960 is a wasteful number, since it uses less digits than its factorization.

6270978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 6270978960 is about 79189.5129420557. The cubic root of 6270978960 is about 1844.0744382660.

The spelling of 6270978960 in words is "six billion, two hundred seventy million, nine hundred seventy-eight thousand, nine hundred sixty".