32993794260 has 384 divisors, whose sum is σ = 122000256000. Its totient is φ = 7396945920.

The previous prime is 32993794243. The next prime is 32993794261. The reversal of 32993794260 is 6249739923.

32993794260 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 379 + 4 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 32993794197 and 32993794206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32993794261) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 9814980 + ... + 9818340.

It is an arithmetic number, because the mean of its divisors is an integer number (317709000).

Almost surely, 2^32993794260 is an apocalyptic number.

32993794260 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 32993794260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61000128000).

32993794260 is an abundant number, since it is smaller than the sum of its proper divisors (89006461740).

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

32993794260 is a wasteful number, since it uses less digits than its factorization.

32993794260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 32993794260 in words is "thirty-two billion, nine hundred ninety-three million, seven hundred ninety-four thousand, two hundred sixty".