870764503504896 has 7680 divisors, whose sum is σ = 3938134007808000. Its totient is φ = 184204158566400.

The previous prime is 870764503504879. The next prime is 870764503504967. The reversal of 870764503504896 is 698405305467078.

870764503504896 is a `hidden beast` number, since 8 + 7 + 0 + 7 + 64 + 50 + 3 + 504 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2836366460775 + ... + 2836366461081.

It is an arithmetic number, because the mean of its divisors is an integer number (512777865600).

Almost surely, 2^{870764503504896} 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 870764503504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969067003904000).

870764503504896 is an abundant number, since it is smaller than the sum of its proper divisors (3067369504303104).

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

870764503504896 is a wasteful number, since it uses less digits than its factorization.

870764503504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 870764503504896 in words is "eight hundred seventy trillion, seven hundred sixty-four billion, five hundred three million, five hundred four thousand, eight hundred ninety-six".