86684729040 has 960 divisors, whose sum is σ = 391274956800. Its totient is φ = 17320200192.

The previous prime is 86684729009. The next prime is 86684729057. The reversal of 86684729040 is 4092748668.

86684729040 is a `hidden beast` number, since 86 + 6 + 8 + 472 + 90 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33610471 + ... + 33613049.

It is an arithmetic number, because the mean of its divisors is an integer number (407578080).

Almost surely, 2^86684729040 is an apocalyptic number.

86684729040 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 86684729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195637478400).

86684729040 is an abundant number, since it is smaller than the sum of its proper divisors (304590227760).

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

86684729040 is a wasteful number, since it uses less digits than its factorization.

86684729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 86684729040 in words is "eighty-six billion, six hundred eighty-four million, seven hundred twenty-nine thousand, forty".