382136423760 has 1280 divisors, whose sum is σ = 1703410974720. Its totient is φ = 76530769920.

The previous prime is 382136423731. The next prime is 382136423887. The reversal of 382136423760 is 67324631283.

382136423760 is a `hidden beast` number, since 3 + 8 + 213 + 6 + 423 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 818279047 + ... + 818279513.

It is an arithmetic number, because the mean of its divisors is an integer number (1330789824).

Almost surely, 2^382136423760 is an apocalyptic number.

382136423760 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 382136423760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851705487360).

382136423760 is an abundant number, since it is smaller than the sum of its proper divisors (1321274550960).

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

382136423760 is a wasteful number, since it uses less digits than its factorization.

382136423760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 382136423760 in words is "three hundred eighty-two billion, one hundred thirty-six million, four hundred twenty-three thousand, seven hundred sixty".