870865646400 has 672 divisors, whose sum is σ = 3210399878400. Its totient is φ = 229633228800.

The previous prime is 870865646389. The next prime is 870865646449. The reversal of 870865646400 is 4646568078.

870865646400 is a `hidden beast` number, since 8 + 70 + 8 + 6 + 564 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2425809421 + ... + 2425809779.

Almost surely, 2^870865646400 is an apocalyptic number.

870865646400 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 870865646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605199939200).

870865646400 is an abundant number, since it is smaller than the sum of its proper divisors (2339534232000).

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

870865646400 is a wasteful number, since it uses less digits than its factorization.

870865646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 870865646400 in words is "eight hundred seventy billion, eight hundred sixty-five million, six hundred forty-six thousand, four hundred".