83760492321 has 48 divisors (see below), whose sum is σ = 132488598528. Its totient is φ = 50571129600.

The previous prime is 83760492287. The next prime is 83760492359. The reversal of 83760492321 is 12329406738.

83760492321 is a `hidden beast` number, since 8 + 3 + 7 + 604 + 9 + 2 + 32 + 1 = 666.

It is not a de Polignac number, because 83760492321 - 2²¹ = 83758395169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83760392321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39677056 + ... + 39679166.

It is an arithmetic number, because the mean of its divisors is an integer number (2760179136).

Almost surely, 2^83760492321 is an apocalyptic number.

It is an amenable number.

83760492321 is a deficient number, since it is larger than the sum of its proper divisors (48728106207).

83760492321 is a wasteful number, since it uses less digits than its factorization.

83760492321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 83760 and 492321, that added together give a square (576081 = 759²).

The spelling of 83760492321 in words is "eighty-three billion, seven hundred sixty million, four hundred ninety-two thousand, three hundred twenty-one".