382098330694080 has 5376 divisors, whose sum is σ = 1860036021043200. Its totient is φ = 69462640558080.

The previous prime is 382098330694061. The next prime is 382098330694127. The reversal of 382098330694080 is 80496033890283.

382098330694080 is a `hidden beast` number, since 3 + 8 + 209 + 8 + 3 + 306 + 9 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 382098330693999 and 382098330694017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 650934123547 + ... + 650934124133.

It is an arithmetic number, because the mean of its divisors is an integer number (345988843200).

Almost surely, 2^{382098330694080} is an apocalyptic number.

382098330694080 is a gapful number since it is divisible by the number (30) 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 382098330694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930018010521600).

382098330694080 is an abundant number, since it is smaller than the sum of its proper divisors (1477937690349120).

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

382098330694080 is a wasteful number, since it uses less digits than its factorization.

382098330694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 382098330694080 in words is "three hundred eighty-two trillion, ninety-eight billion, three hundred thirty million, six hundred ninety-four thousand, eighty".