6570906468 has 72 divisors (see below), whose sum is σ = 17900148672. Its totient is φ = 1870577856.

The previous prime is 6570906457. The next prime is 6570906493. The reversal of 6570906468 is 8646090756.

It is a super-2 number, since 2×6570906468² = 86353623622408470048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6570906468.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142705 + ... + 183047.

It is an arithmetic number, because the mean of its divisors is an integer number (248613176).

Almost surely, 2^6570906468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6570906468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950074336).

6570906468 is an abundant number, since it is smaller than the sum of its proper divisors (11329242204).

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

6570906468 is a wasteful number, since it uses less digits than its factorization.

6570906468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40641 (or 40632 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 6570906468 is about 81061.1279714266. The cubic root of 6570906468 is about 1873.0171838361.

The spelling of 6570906468 in words is "six billion, five hundred seventy million, nine hundred six thousand, four hundred sixty-eight".