32772857040 has 1280 divisors, whose sum is σ = 152115978240. Its totient is φ = 6277201920.

The previous prime is 32772856999. The next prime is 32772857053. The reversal of 32772857040 is 4075827723.

32772857040 is a `hidden beast` number, since 3 + 2 + 7 + 72 + 8 + 570 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 189438394 + ... + 189438566.

It is an arithmetic number, because the mean of its divisors is an integer number (118840608).

Almost surely, 2^32772857040 is an apocalyptic number.

32772857040 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 32772857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76057989120).

32772857040 is an abundant number, since it is smaller than the sum of its proper divisors (119343121200).

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

32772857040 is a wasteful number, since it uses less digits than its factorization.

32772857040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 32772857040 in words is "thirty-two billion, seven hundred seventy-two million, eight hundred fifty-seven thousand, forty".