83768833765440 has 224 divisors, whose sum is σ = 295527238581120. Its totient is φ = 22337644492800.

The previous prime is 83768833765429. The next prime is 83768833765451. The reversal of 83768833765440 is 4456733886738.

It is a happy number.

83768833765440 is a `hidden beast` number, since 8 + 3 + 7 + 6 + 8 + 8 + 3 + 3 + 76 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83768833765429) and next prime (83768833765451).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306505650 + ... + 306778830.

It is an arithmetic number, because the mean of its divisors is an integer number (1319318029380).

Almost surely, 2^{83768833765440} is an apocalyptic number.

83768833765440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83768833765440 is an abundant number, since it is smaller than the sum of its proper divisors (211758404815680).

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

83768833765440 is a wasteful number, since it uses less digits than its factorization.

83768833765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308698 (or 308682 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 83768833765440 in words is "eighty-three trillion, seven hundred sixty-eight billion, eight hundred thirty-three million, seven hundred sixty-five thousand, four hundred forty".