332784661440 has 896 divisors, whose sum is σ = 1405705218048. Its totient is φ = 64573931520.

The previous prime is 332784661409. The next prime is 332784661441. The reversal of 332784661440 is 44166487233.

It is a super-2 number, since 2×332784661440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 332784661440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332784661441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172158714 + ... + 172160646.

Almost surely, 2^332784661440 is an apocalyptic number.

332784661440 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 332784661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702852609024).

332784661440 is an abundant number, since it is smaller than the sum of its proper divisors (1072920556608).

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

332784661440 is a wasteful number, since it uses less digits than its factorization.

332784661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 332784661440 in words is "three hundred thirty-two billion, seven hundred eighty-four million, six hundred sixty-one thousand, four hundred forty".