86568704640 has 960 divisors, whose sum is σ = 349931985480. Its totient is φ = 20364410880.

The previous prime is 86568704633. The next prime is 86568704641. The reversal of 86568704640 is 4640786568.

86568704640 is a `hidden beast` number, since 8 + 6 + 568 + 70 + 4 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82653950016 + 3914754624 = 287496^2 + 62568^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86568704641) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 232087494 + ... + 232087866.

Almost surely, 2^86568704640 is an apocalyptic number.

86568704640 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 86568704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174965992740).

86568704640 is an abundant number, since it is smaller than the sum of its proper divisors (263363280840).

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

86568704640 is a wasteful number, since it uses less digits than its factorization.

86568704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

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

The spelling of 86568704640 in words is "eighty-six billion, five hundred sixty-eight million, seven hundred four thousand, six hundred forty".