32780773872000 has 7168 divisors, whose sum is σ = 171302430873600. Its totient is φ = 6019743744000.

The previous prime is 32780773871947. The next prime is 32780773872001. The reversal of 32780773872000 is 27837708723.

32780773872000 is a `hidden beast` number, since 327 + 80 + 7 + 7 + 38 + 7 + 200 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32780773872001) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 290095343944 + ... + 290095344056.

Almost surely, 2^{32780773872000} is an apocalyptic number.

32780773872000 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 32780773872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85651215436800).

32780773872000 is an abundant number, since it is smaller than the sum of its proper divisors (138521657001600).

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

32780773872000 is a wasteful number, since it uses less digits than its factorization.

32780773872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 32780773872000 in words is "thirty-two trillion, seven hundred eighty billion, seven hundred seventy-three million, eight hundred seventy-two thousand".