83242913760 has 384 divisors, whose sum is σ = 312248079360. Its totient is φ = 20658198528.

The previous prime is 83242913731. The next prime is 83242913771. The reversal of 83242913760 is 6731924238.

83242913760 is a `hidden beast` number, since 8 + 32 + 429 + 137 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 3664999 + ... + 3687641.

It is an arithmetic number, because the mean of its divisors is an integer number (813146040).

Almost surely, 2^83242913760 is an apocalyptic number.

83242913760 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 83242913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156124039680).

83242913760 is an abundant number, since it is smaller than the sum of its proper divisors (229005165600).

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

83242913760 is a wasteful number, since it uses less digits than its factorization.

83242913760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22727 (or 22713 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 83242913760 in words is "eighty-three billion, two hundred forty-two million, nine hundred thirteen thousand, seven hundred sixty".