84686765040 has 240 divisors, whose sum is σ = 299667962880. Its totient is φ = 21373632000.

The previous prime is 84686765039. The next prime is 84686765047. The reversal of 84686765040 is 4056768648.

84686765040 is a `hidden beast` number, since 8 + 4 + 68 + 6 + 76 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84686765047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17822665 + ... + 17827415.

It is an arithmetic number, because the mean of its divisors is an integer number (1248616512).

Almost surely, 2^84686765040 is an apocalyptic number.

84686765040 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 84686765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149833981440).

84686765040 is an abundant number, since it is smaller than the sum of its proper divisors (214981197840).

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

84686765040 is a wasteful number, since it uses less digits than its factorization.

84686765040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 84686765040 in words is "eighty-four billion, six hundred eighty-six million, seven hundred sixty-five thousand, forty".