333827940096 has 486 divisors, whose sum is σ = 1181827325952. Its totient is φ = 90348410880.

The previous prime is 333827940071. The next prime is 333827940097. The reversal of 333827940096 is 690049728333.

333827940096 is a `hidden beast` number, since 3 + 3 + 3 + 82 + 79 + 400 + 96 = 666.

It is a super-2 number, since 2×333827940096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333827940097) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 40751361 + ... + 40759551.

Almost surely, 2^333827940096 is an apocalyptic number.

333827940096 is a gapful number since it is divisible by the number (36) 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 333827940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590913662976).

333827940096 is an abundant number, since it is smaller than the sum of its proper divisors (847999385856).

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

333827940096 is a wasteful number, since it uses less digits than its factorization.

333827940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 333827940096 in words is "three hundred thirty-three billion, eight hundred twenty-seven million, nine hundred forty thousand, ninety-six".