84676157280 has 1152 divisors, whose sum is σ = 354815645184. Its totient is φ = 18114969600.

The previous prime is 84676157263. The next prime is 84676157299. The reversal of 84676157280 is 8275167648.

84676157280 is a `hidden beast` number, since 8 + 4 + 6 + 7 + 61 + 572 + 8 + 0 = 666.

It is a super-2 number, since 2×84676157280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 646382815 + ... + 646382945.

It is an arithmetic number, because the mean of its divisors is an integer number (307999692).

Almost surely, 2^84676157280 is an apocalyptic number.

84676157280 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 84676157280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177407822592).

84676157280 is an abundant number, since it is smaller than the sum of its proper divisors (270139487904).

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

84676157280 is a wasteful number, since it uses less digits than its factorization.

84676157280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 84676157280 in words is "eighty-four billion, six hundred seventy-six million, one hundred fifty-seven thousand, two hundred eighty".