870476846400 has 1008 divisors, whose sum is σ = 3712335252480. Its totient is φ = 197832499200.

The previous prime is 870476846389. The next prime is 870476846429. The reversal of 870476846400 is 4648674078.

870476846400 is a `hidden beast` number, since 87 + 0 + 47 + 68 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 404307724 + ... + 404309876.

Almost surely, 2^870476846400 is an apocalyptic number.

870476846400 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 870476846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856167626240).

870476846400 is an abundant number, since it is smaller than the sum of its proper divisors (2841858406080).

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

870476846400 is a wasteful number, since it uses less digits than its factorization.

870476846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 870476846400 in words is "eight hundred seventy billion, four hundred seventy-six million, eight hundred forty-six thousand, four hundred".