870064022016 has 800 divisors, whose sum is σ = 3142147282560. Its totient is φ = 234148921344.

The previous prime is 870064022011. The next prime is 870064022027. The reversal of 870064022016 is 610220460078.

870064022016 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 640 + 2 + 2 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×870064022016² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (870064022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1285175470 + ... + 1285176146.

Almost surely, 2^870064022016 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 870064022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571073641280).

870064022016 is an abundant number, since it is smaller than the sum of its proper divisors (2272083260544).

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

870064022016 is a wasteful number, since it uses less digits than its factorization.

870064022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 870064022016 in words is "eight hundred seventy billion, sixty-four million, twenty-two thousand, sixteen".