870385008640 has 360 divisors, whose sum is σ = 2514024482760. Its totient is φ = 288088915968.

The previous prime is 870385008617. The next prime is 870385008679. The reversal of 870385008640 is 46800583078.

It can be written as a sum of positive squares in 4 ways, for example, as 295796752384 + 574588256256 = 543872^2 + 758016^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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, 116404582 + ... + 116412058.

It is an arithmetic number, because the mean of its divisors is an integer number (6983401341).

Almost surely, 2^870385008640 is an apocalyptic number.

870385008640 is a gapful number since it is divisible by the number (80) 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 870385008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257012241380).

870385008640 is an abundant number, since it is smaller than the sum of its proper divisors (1643639474120).

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

870385008640 is an equidigital number, since it uses as much as digits as its factorization.

870385008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7553 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 870385008640 in words is "eight hundred seventy billion, three hundred eighty-five million, eight thousand, six hundred forty".