83437966080 has 576 divisors, whose sum is σ = 339781478400. Its totient is φ = 18993070080.

The previous prime is 83437966061. The next prime is 83437966103. The reversal of 83437966080 is 8066973438.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75236566 + ... + 75237674.

It is an arithmetic number, because the mean of its divisors is an integer number (589898400).

Almost surely, 2^83437966080 is an apocalyptic number.

83437966080 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 83437966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169890739200).

83437966080 is an abundant number, since it is smaller than the sum of its proper divisors (256343512320).

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

83437966080 is a wasteful number, since it uses less digits than its factorization.

83437966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 83437966080 in words is "eighty-three billion, four hundred thirty-seven million, nine hundred sixty-six thousand, eighty".