33272778240 has 400 divisors, whose sum is σ = 128350097568. Its totient is φ = 8189558784.

The previous prime is 33272778239. The next prime is 33272778247. The reversal of 33272778240 is 4287727233.

33272778240 is a `hidden beast` number, since 332 + 7 + 2 + 7 + 78 + 240 = 666.

It is a super-2 number, since 2×33272778240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33272778247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2689509 + ... + 2701851.

Almost surely, 2^33272778240 is an apocalyptic number.

33272778240 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 33272778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64175048784).

33272778240 is an abundant number, since it is smaller than the sum of its proper divisors (95077319328).

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

33272778240 is a wasteful number, since it uses less digits than its factorization.

33272778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12391 (or 12366 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 33272778240 in words is "thirty-three billion, two hundred seventy-two million, seven hundred seventy-eight thousand, two hundred forty".