84686479776 has 288 divisors, whose sum is σ = 255541366080. Its totient is φ = 27580041216.

The previous prime is 84686479763. The next prime is 84686479781. The reversal of 84686479776 is 67797468648.

It is a happy number.

84686479776 is a `hidden beast` number, since 8 + 4 + 6 + 86 + 479 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 90379980 + ... + 90380916.

It is an arithmetic number, because the mean of its divisors is an integer number (887296410).

Almost surely, 2^84686479776 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 84686479776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127770683040).

84686479776 is an abundant number, since it is smaller than the sum of its proper divisors (170854886304).

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

84686479776 is a wasteful number, since it uses less digits than its factorization.

84686479776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1198 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 84686479776 in words is "eighty-four billion, six hundred eighty-six million, four hundred seventy-nine thousand, seven hundred seventy-six".