84642512976 has 1200 divisors, whose sum is σ = 323276184000. Its totient is φ = 21215416320.

The previous prime is 84642512959. The next prime is 84642513031. The reversal of 84642512976 is 67921524648.

84642512976 is a `hidden beast` number, since 84 + 6 + 42 + 512 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1434618835 + ... + 1434618893.

It is an arithmetic number, because the mean of its divisors is an integer number (269396820).

Almost surely, 2^84642512976 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 84642512976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161638092000).

84642512976 is an abundant number, since it is smaller than the sum of its proper divisors (238633671024).

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

84642512976 is a wasteful number, since it uses less digits than its factorization.

84642512976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 84642512976 in words is "eighty-four billion, six hundred forty-two million, five hundred twelve thousand, nine hundred seventy-six".