83062296720 has 480 divisors, whose sum is σ = 312223766400. Its totient is φ = 20286609408.

The previous prime is 83062296719. The next prime is 83062296773. The reversal of 83062296720 is 2769226038.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50739742 + ... + 50741378.

It is an arithmetic number, because the mean of its divisors is an integer number (650466180).

Almost surely, 2^83062296720 is an apocalyptic number.

83062296720 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 83062296720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156111883200).

83062296720 is an abundant number, since it is smaller than the sum of its proper divisors (229161469680).

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

83062296720 is a wasteful number, since it uses less digits than its factorization.

83062296720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1799 counting only the distinct ones).

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

The spelling of 83062296720 in words is "eighty-three billion, sixty-two million, two hundred ninety-six thousand, seven hundred twenty".