83720688240 has 80 divisors (see below), whose sum is σ = 296610444288. Its totient is φ = 19136156928.

The previous prime is 83720688221. The next prime is 83720688251. The reversal of 83720688240 is 4288602738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83720688240.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24915192 + ... + 24918551.

Almost surely, 2^83720688240 is an apocalyptic number.

83720688240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83720688240 is an abundant number, since it is smaller than the sum of its proper divisors (212889756048).

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

83720688240 is a wasteful number, since it uses less digits than its factorization.

83720688240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49833766 (or 49833760 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 83720688240 in words is "eighty-three billion, seven hundred twenty million, six hundred eighty-eight thousand, two hundred forty".