876496682061 has 288 divisors, whose sum is σ = 1847123066880. Its totient is φ = 392530924800.

The previous prime is 876496682059. The next prime is 876496682161. The reversal of 876496682061 is 160286694678.

876496682061 is a `hidden beast` number, since 8 + 7 + 6 + 496 + 6 + 82 + 0 + 61 = 666.

876496682061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 876496682061 - 2¹ = 876496682059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 876496682061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876496682041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 85066836 + ... + 85077138.

It is an arithmetic number, because the mean of its divisors is an integer number (6413621760).

Almost surely, 2^876496682061 is an apocalyptic number.

It is an amenable number.

876496682061 is an abundant number, since it is smaller than the sum of its proper divisors (970626384819).

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

876496682061 is a wasteful number, since it uses less digits than its factorization.

876496682061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10437 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 876496682061 in words is "eight hundred seventy-six billion, four hundred ninety-six million, six hundred eighty-two thousand, sixty-one".