869834751324840 has 192 divisors, whose sum is σ = 3350474597957760. Its totient is φ = 198819371715840.

The previous prime is 869834751324839. The next prime is 869834751324907. The reversal of 869834751324840 is 48423157438968.

869834751324840 is a `hidden beast` number, since 8 + 6 + 9 + 8 + 3 + 4 + 7 + 5 + 132 + 484 + 0 = 666.

It is a super-2 number, since 2×869834751324840² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6392015671 + ... + 6392151750.

It is an arithmetic number, because the mean of its divisors is an integer number (17450388531030).

It is a 2-persistent number, because it is pandigital, and so is 2⋅869834751324840 = 1739669502649680, but 3⋅869834751324840 = 2609504253974520 is not.

Almost surely, 2^{869834751324840} is an apocalyptic number.

It is an amenable number.

869834751324840 is an abundant number, since it is smaller than the sum of its proper divisors (2480639846632920).

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

869834751324840 is a wasteful number, since it uses less digits than its factorization.

869834751324840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784167454 (or 12784167438 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 869834751324840 in words is "eight hundred sixty-nine trillion, eight hundred thirty-four billion, seven hundred fifty-one million, three hundred twenty-four thousand, eight hundred forty".