84779472960 has 672 divisors, whose sum is σ = 372223418112. Its totient is φ = 17886044160.

The previous prime is 84779472901. The next prime is 84779472997. The reversal of 84779472960 is 6927497748.

84779472960 is a `hidden beast` number, since 8 + 4 + 7 + 79 + 472 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7070170 + ... + 7082150.

It is an arithmetic number, because the mean of its divisors is an integer number (553903896).

Almost surely, 2^84779472960 is an apocalyptic number.

84779472960 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 84779472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186111709056).

84779472960 is an abundant number, since it is smaller than the sum of its proper divisors (287443945152).

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

84779472960 is a wasteful number, since it uses less digits than its factorization.

84779472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12033 (or 12011 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 84779472960 in words is "eighty-four billion, seven hundred seventy-nine million, four hundred seventy-two thousand, nine hundred sixty".