83036773728 has 192 divisors, whose sum is σ = 256951296000. Its totient is φ = 26015012352.

The previous prime is 83036773711. The next prime is 83036773763. The reversal of 83036773728 is 82737763038.

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

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, 2064918 + ... + 2104746.

It is an arithmetic number, because the mean of its divisors is an integer number (1338288000).

Almost surely, 2^83036773728 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 83036773728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128475648000).

83036773728 is an abundant number, since it is smaller than the sum of its proper divisors (173914522272).

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

83036773728 is a wasteful number, since it uses less digits than its factorization.

83036773728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39994 (or 39980 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 83036773728 in words is "eighty-three billion, thirty-six million, seven hundred seventy-three thousand, seven hundred twenty-eight".