83761346960 has 20 divisors (see below), whose sum is σ = 194745131868. Its totient is φ = 33504538752.

The previous prime is 83761346947. The next prime is 83761346987. The reversal of 83761346960 is 6964316738.

It can be written as a sum of positive squares in 2 ways, for example, as 9018161296 + 74743185664 = 94964^2 + 273392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 523508339 + ... + 523508498.

Almost surely, 2^83761346960 is an apocalyptic number.

83761346960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83761346960 is an abundant number, since it is smaller than the sum of its proper divisors (110983784908).

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

83761346960 is a wasteful number, since it uses less digits than its factorization.

83761346960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047016850 (or 1047016844 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 53.

The spelling of 83761346960 in words is "eighty-three billion, seven hundred sixty-one million, three hundred forty-six thousand, nine hundred sixty".