83020706496 has 504 divisors, whose sum is σ = 298700769120. Its totient is φ = 21582692352.

The previous prime is 83020706479. The next prime is 83020706497. The reversal of 83020706496 is 69460702038.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (83020706497) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 49741950 + ... + 49743618.

Almost surely, 2^83020706496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83020706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149350384560).

83020706496 is an abundant number, since it is smaller than the sum of its proper divisors (215680062624).

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

83020706496 is a wasteful number, since it uses less digits than its factorization.

83020706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1767 counting only the distinct ones).

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

The spelling of 83020706496 in words is "eighty-three billion, twenty million, seven hundred six thousand, four hundred ninety-six".