83785933764 has 135 divisors (see below), whose sum is σ = 237369616407. Its totient is φ = 25759446336.

The previous prime is 83785933711. The next prime is 83785933769. The reversal of 83785933764 is 46733958738.

The square root of 83785933764 is 289458.

It is a perfect power (a square), and thus also a powerful number.

83785933764 is a `hidden beast` number, since 8 + 3 + 7 + 8 + 593 + 37 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1256135364 + 82529798400 = 35442^2 + 287280^2 .

It is not an unprimeable number, because it can be changed into a prime (83785933769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 67732554 + ... + 67733790.

Almost surely, 2^83785933764 is an apocalyptic number.

83785933764 is the 289458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83785933764

83785933764 is an abundant number, since it is smaller than the sum of its proper divisors (153583682643).

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

83785933764 is a wasteful number, since it uses less digits than its factorization.

83785933764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 1255 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 83785933764 in words is "eighty-three billion, seven hundred eighty-five million, nine hundred thirty-three thousand, seven hundred sixty-four".