6570408960 has 264 divisors, whose sum is σ = 23613962736. Its totient is φ = 1751777280.

The previous prime is 6570408953. The next prime is 6570408967. The reversal of 6570408960 is 698040756.

It is an interprime number because it is at equal distance from previous prime (6570408953) and next prime (6570408967).

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 (6570408967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1241520 + ... + 1246800.

Almost surely, 2^6570408960 is an apocalyptic number.

6570408960 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 6570408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806981368).

6570408960 is an abundant number, since it is smaller than the sum of its proper divisors (17043553776).

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

6570408960 is an equidigital number, since it uses as much as digits as its factorization.

6570408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6570408960 is about 81058.0591921618. The cubic root of 6570408960 is about 1872.9699115885.

The spelling of 6570408960 in words is "six billion, five hundred seventy million, four hundred eight thousand, nine hundred sixty".