83690786304 has 320 divisors, whose sum is σ = 258986280960. Its totient is φ = 26985830400.

The previous prime is 83690786279. The next prime is 83690786317. The reversal of 83690786304 is 40368709638.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34710859 + ... + 34713269.

It is an arithmetic number, because the mean of its divisors is an integer number (809332128).

Almost surely, 2^83690786304 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 83690786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129493140480).

83690786304 is an abundant number, since it is smaller than the sum of its proper divisors (175295494656).

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

83690786304 is an frugal number, since it uses more digits than its factorization.

83690786304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2447 counting only the distinct ones).

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

The spelling of 83690786304 in words is "eighty-three billion, six hundred ninety million, seven hundred eighty-six thousand, three hundred four".