86413616640 has 640 divisors, whose sum is σ = 350066344320. Its totient is φ = 20016267264.

The previous prime is 86413616617. The next prime is 86413616701. The reversal of 86413616640 is 4661631468.

86413616640 is a `hidden beast` number, since 86 + 413 + 61 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15272692 + ... + 15278348.

It is an arithmetic number, because the mean of its divisors is an integer number (546978663).

Almost surely, 2^86413616640 is an apocalyptic number.

86413616640 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 86413616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175033172160).

86413616640 is an abundant number, since it is smaller than the sum of its proper divisors (263652727680).

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

86413616640 is a wasteful number, since it uses less digits than its factorization.

86413616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 86413616640 in words is "eighty-six billion, four hundred thirteen million, six hundred sixteen thousand, six hundred forty".