85767693746640 has 160 divisors (see below), whose sum is σ = 282009968064000. Its totient is φ = 21502226004480.

The previous prime is 85767693746627. The next prime is 85767693746681. The reversal of 85767693746640 is 4664739676758.

It is a super-2 number, since 2×85767693746640² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71191590 + ... + 72386309.

It is an arithmetic number, because the mean of its divisors is an integer number (1762562300400).

Almost surely, 2^{85767693746640} is an apocalyptic number.

85767693746640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85767693746640 is an abundant number, since it is smaller than the sum of its proper divisors (196242274317360).

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

85767693746640 is a wasteful number, since it uses less digits than its factorization.

85767693746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143578065 (or 143578059 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 78.

The spelling of 85767693746640 in words is "eighty-five trillion, seven hundred sixty-seven billion, six hundred ninety-three million, seven hundred forty-six thousand, six hundred forty".