83735346672 has 60 divisors (see below), whose sum is σ = 243022041080. Its totient is φ = 27911780928.

The previous prime is 83735346641. The next prime is 83735346677. The reversal of 83735346672 is 27664353738.

83735346672 is a `hidden beast` number, since 8 + 37 + 3 + 534 + 6 + 6 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83735346677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10764547 + ... + 10772322.

Almost surely, 2^83735346672 is an apocalyptic number.

It is an amenable number.

83735346672 is an abundant number, since it is smaller than the sum of its proper divisors (159286694408).

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

83735346672 is a wasteful number, since it uses less digits than its factorization.

83735346672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21536892 (or 21536874 counting only the distinct ones).

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

The spelling of 83735346672 in words is "eighty-three billion, seven hundred thirty-five million, three hundred forty-six thousand, six hundred seventy-two".