84792497760 has 336 divisors, whose sum is σ = 316161966960. Its totient is φ = 21420702720.

The previous prime is 84792497743. The next prime is 84792497771. The reversal of 84792497760 is 6779429748.

84792497760 is a `hidden beast` number, since 8 + 4 + 79 + 2 + 497 + 76 + 0 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2197030 + ... + 2235290.

It is an arithmetic number, because the mean of its divisors is an integer number (940958235).

Almost surely, 2^84792497760 is an apocalyptic number.

84792497760 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 84792497760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158080983480).

84792497760 is an abundant number, since it is smaller than the sum of its proper divisors (231369469200).

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

84792497760 is a wasteful number, since it uses less digits than its factorization.

84792497760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38313 (or 38290 counting only the distinct ones).

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

The spelling of 84792497760 in words is "eighty-four billion, seven hundred ninety-two million, four hundred ninety-seven thousand, seven hundred sixty".