870705273360384 has 2496 divisors, whose sum is σ = 3321850891806720. Its totient is φ = 221340562882560.

The previous prime is 870705273360379. The next prime is 870705273360467. The reversal of 870705273360384 is 483063372507078.

It is a happy number.

870705273360384 is a `hidden beast` number, since 8 + 7 + 0 + 70 + 527 + 3 + 3 + 6 + 0 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 729845157292 + ... + 729845158484.

It is an arithmetic number, because the mean of its divisors is an integer number (1330869748320).

Almost surely, 2^{870705273360384} is an apocalyptic number.

870705273360384 is a gapful number since it is divisible by the number (84) 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 870705273360384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660925445903360).

870705273360384 is an abundant number, since it is smaller than the sum of its proper divisors (2451145618446336).

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

870705273360384 is a wasteful number, since it uses less digits than its factorization.

870705273360384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 870705273360384 in words is "eight hundred seventy trillion, seven hundred five billion, two hundred seventy-three million, three hundred sixty thousand, three hundred eighty-four".