83718374076480 has 448 divisors, whose sum is σ = 312306549343488. Its totient is φ = 18732312330240.

The previous prime is 83718374076443. The next prime is 83718374076499. The reversal of 83718374076480 is 8467047381738.

83718374076480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1736979742 + ... + 1737027938.

It is an arithmetic number, because the mean of its divisors is an integer number (697112833356).

Almost surely, 2^{83718374076480} is an apocalyptic number.

83718374076480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83718374076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156153274671744).

83718374076480 is an abundant number, since it is smaller than the sum of its proper divisors (228588175267008).

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

83718374076480 is a wasteful number, since it uses less digits than its factorization.

83718374076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60894 (or 60884 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 66.

The spelling of 83718374076480 in words is "eighty-three trillion, seven hundred eighteen billion, three hundred seventy-four million, seventy-six thousand, four hundred eighty".