83009500704 has 384 divisors, whose sum is σ = 273499027200. Its totient is φ = 24315863040.

The previous prime is 83009500643. The next prime is 83009500709. The reversal of 83009500704 is 40700590038.

83009500704 is a `hidden beast` number, since 83 + 0 + 0 + 9 + 500 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83009500709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23776399 + ... + 23779889.

It is an arithmetic number, because the mean of its divisors is an integer number (712237050).

Almost surely, 2^83009500704 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 83009500704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136749513600).

83009500704 is an abundant number, since it is smaller than the sum of its proper divisors (190489526496).

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

83009500704 is a wasteful number, since it uses less digits than its factorization.

83009500704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 83009500704 in words is "eighty-three billion, nine million, five hundred thousand, seven hundred four".