86366906640 has 640 divisors, whose sum is σ = 351097528320. Its totient is φ = 19101837312.

The previous prime is 86366906621. The next prime is 86366906683. The reversal of 86366906640 is 4660966368.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147132427 + ... + 147133013.

It is an arithmetic number, because the mean of its divisors is an integer number (548589888).

Almost surely, 2^86366906640 is an apocalyptic number.

86366906640 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 86366906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175548764160).

86366906640 is an abundant number, since it is smaller than the sum of its proper divisors (264730621680).

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

86366906640 is a wasteful number, since it uses less digits than its factorization.

86366906640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 86366906640 in words is "eighty-six billion, three hundred sixty-six million, nine hundred six thousand, six hundred forty".