870757645440 has 768 divisors, whose sum is σ = 3021909120000. Its totient is φ = 213154799616.

The previous prime is 870757645409. The next prime is 870757645463. The reversal of 870757645440 is 44546757078.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4375666461 + ... + 4375666659.

It is an arithmetic number, because the mean of its divisors is an integer number (3934777500).

Almost surely, 2^870757645440 is an apocalyptic number.

870757645440 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 870757645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510954560000).

870757645440 is an abundant number, since it is smaller than the sum of its proper divisors (2151151474560).

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

870757645440 is a wasteful number, since it uses less digits than its factorization.

870757645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 57.

The spelling of 870757645440 in words is "eight hundred seventy billion, seven hundred fifty-seven million, six hundred forty-five thousand, four hundred forty".