6358080960 has 896 divisors, whose sum is σ = 29494886400. Its totient is φ = 1249136640.

The previous prime is 6358080893. The next prime is 6358080961. The reversal of 6358080960 is 690808536.

6358080960 is a `hidden beast` number, since 6 + 3 + 580 + 8 + 0 + 9 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6358080961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12640069 + ... + 12640571.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^6358080960 is an apocalyptic number.

6358080960 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 6358080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747443200).

6358080960 is an abundant number, since it is smaller than the sum of its proper divisors (23136805440).

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

6358080960 is a wasteful number, since it uses less digits than its factorization.

6358080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6358080960 is about 79737.5755839115. The cubic root of 6358080960 is about 1852.5730896108.

The spelling of 6358080960 in words is "six billion, three hundred fifty-eight million, eighty thousand, nine hundred sixty".