331782066000 has 1920 divisors, whose sum is σ = 1561460060160. Its totient is φ = 63576576000.

The previous prime is 331782065969. The next prime is 331782066047. The reversal of 331782066000 is 660287133.

It is a happy number.

331782066000 is a `hidden beast` number, since 33 + 17 + 8 + 2 + 0 + 6 + 600 + 0 = 666.

It is a super-2 number, since 2×331782066000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 1132361854 + ... + 1132362146.

It is an arithmetic number, because the mean of its divisors is an integer number (813260448).

Almost surely, 2^331782066000 is an apocalyptic number.

331782066000 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 331782066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780730030080).

331782066000 is an abundant number, since it is smaller than the sum of its proper divisors (1229677994160).

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

331782066000 is a wasteful number, since it uses less digits than its factorization.

331782066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 331782066000 in words is "three hundred thirty-one billion, seven hundred eighty-two million, sixty-six thousand".