83734765632 has 1344 divisors, whose sum is σ = 329125478400. Its totient is φ = 20692869120.

The previous prime is 83734765627. The next prime is 83734765643. The reversal of 83734765632 is 23656743738.

83734765632 is a `hidden beast` number, since 8 + 3 + 7 + 3 + 4 + 76 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1147051548 + ... + 1147051620.

Almost surely, 2^83734765632 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 83734765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164562739200).

83734765632 is an abundant number, since it is smaller than the sum of its proper divisors (245390712768).

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

83734765632 is a wasteful number, since it uses less digits than its factorization.

83734765632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 83734765632 in words is "eighty-three billion, seven hundred thirty-four million, seven hundred sixty-five thousand, six hundred thirty-two".