6570823680 has 520 divisors, whose sum is σ = 25047357192. Its totient is φ = 1642070016.

The previous prime is 6570823667. The next prime is 6570823709. The reversal of 6570823680 is 863280756.

It can be written as a sum of positive squares in 4 ways, for example, as 613453824 + 5957369856 = 24768^2 + 77184^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28200844 + ... + 28201076.

Almost surely, 2^6570823680 is an apocalyptic number.

6570823680 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 6570823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523678596).

6570823680 is an abundant number, since it is smaller than the sum of its proper divisors (18476533512).

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

6570823680 is a wasteful number, since it uses less digits than its factorization.

6570823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6570823680 is about 81060.6173181527. The cubic root of 6570823680 is about 1873.0093176460.

The spelling of 6570823680 in words is "six billion, five hundred seventy million, eight hundred twenty-three thousand, six hundred eighty".