86697656640 has 1344 divisors, whose sum is σ = 380238243840. Its totient is φ = 18363801600.

The previous prime is 86697656593. The next prime is 86697656641. The reversal of 86697656640 is 4665679668.

86697656640 is a `hidden beast` number, since 8 + 6 + 69 + 7 + 6 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86697656641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 858392590 + ... + 858392690.

It is an arithmetic number, because the mean of its divisors is an integer number (282915360).

Almost surely, 2^86697656640 is an apocalyptic number.

86697656640 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 86697656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190119121920).

86697656640 is an abundant number, since it is smaller than the sum of its proper divisors (293540587200).

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

86697656640 is a wasteful number, since it uses less digits than its factorization.

86697656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 86697656640 in words is "eighty-six billion, six hundred ninety-seven million, six hundred fifty-six thousand, six hundred forty".