870067021824 has 1152 divisors, whose sum is σ = 3489149664000. Its totient is φ = 208461496320.

The previous prime is 870067021823. The next prime is 870067021829. The reversal of 870067021824 is 428120760078.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 870067021824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870067021823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608863542 + ... + 608864970.

It is an arithmetic number, because the mean of its divisors is an integer number (3028775750).

Almost surely, 2^870067021824 is an apocalyptic number.

870067021824 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 870067021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744574832000).

870067021824 is an abundant number, since it is smaller than the sum of its proper divisors (2619082642176).

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

870067021824 is a wasteful number, since it uses less digits than its factorization.

870067021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 870067021824 in words is "eight hundred seventy billion, sixty-seven million, twenty-one thousand, eight hundred twenty-four".