876696952491360 has 7680 divisors, whose sum is σ = 4634880793804800. Its totient is φ = 153102149222400.

The previous prime is 876696952491341. The next prime is 876696952491397. The reversal of 876696952491360 is 63194259696678.

876696952491360 is a `hidden beast` number, since 8 + 7 + 6 + 6 + 9 + 6 + 9 + 5 + 249 + 1 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 876696952491360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 335000744772 + ... + 335000747388.

It is an arithmetic number, because the mean of its divisors is an integer number (603500103360).

It is a 1-persistent number, because it is pandigital, but 2⋅876696952491360 = 1753393904982720 is not.

Almost surely, 2^{876696952491360} is an apocalyptic number.

876696952491360 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 876696952491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317440396902400).

876696952491360 is an abundant number, since it is smaller than the sum of its proper divisors (3758183841313440).

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

876696952491360 is a wasteful number, since it uses less digits than its factorization.

876696952491360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 81.

The spelling of 876696952491360 in words is "eight hundred seventy-six trillion, six hundred ninety-six billion, nine hundred fifty-two million, four hundred ninety-one thousand, three hundred sixty".