83669400576 has 352 divisors, whose sum is σ = 257990779200. Its totient is φ = 26754416640.

The previous prime is 83669400527. The next prime is 83669400593. The reversal of 83669400576 is 67500496638.

83669400576 is a `hidden beast` number, since 8 + 3 + 6 + 69 + 4 + 0 + 0 + 576 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193231656 + ... + 193232088.

It is an arithmetic number, because the mean of its divisors is an integer number (732928350).

Almost surely, 2^83669400576 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 83669400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128995389600).

83669400576 is an abundant number, since it is smaller than the sum of its proper divisors (174321378624).

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

83669400576 is a wasteful number, since it uses less digits than its factorization.

83669400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 83669400576 in words is "eighty-three billion, six hundred sixty-nine million, four hundred thousand, five hundred seventy-six".