83914688640 has 256 divisors, whose sum is σ = 290642227200. Its totient is φ = 20515368960.

The previous prime is 83914688603. The next prime is 83914688647. The reversal of 83914688640 is 4688641938.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (83914688647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093779 + ... + 1167981.

It is an arithmetic number, because the mean of its divisors is an integer number (1135321200).

Almost surely, 2^83914688640 is an apocalyptic number.

83914688640 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 83914688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145321113600).

83914688640 is an abundant number, since it is smaller than the sum of its proper divisors (206727538560).

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

83914688640 is a wasteful number, since it uses less digits than its factorization.

83914688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74275 (or 74263 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 83914688640 in words is "eighty-three billion, nine hundred fourteen million, six hundred eighty-eight thousand, six hundred forty".