83876932464 has 160 divisors (see below), whose sum is σ = 241964513280. Its totient is φ = 24859720704.

The previous prime is 83876932441. The next prime is 83876932487. The reversal of 83876932464 is 46423967838.

It is an interprime number because it is at equal distance from previous prime (83876932441) and next prime (83876932487).

It is a super-2 number, since 2×83876932464² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83876932398 and 83876932407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8011297 + ... + 8021759.

It is an arithmetic number, because the mean of its divisors is an integer number (1512278208).

Almost surely, 2^83876932464 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 83876932464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120982256640).

83876932464 is an abundant number, since it is smaller than the sum of its proper divisors (158087580816).

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

83876932464 is a wasteful number, since it uses less digits than its factorization.

83876932464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959 (or 10953 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 83876932464 in words is "eighty-three billion, eight hundred seventy-six million, nine hundred thirty-two thousand, four hundred sixty-four".