33762728664 has 128 divisors (see below), whose sum is σ = 107359948800. Its totient is φ = 9630593280.

The previous prime is 33762728653. The next prime is 33762728687. The reversal of 33762728664 is 46682726733.

33762728664 is a `hidden beast` number, since 3 + 3 + 7 + 627 + 2 + 8 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×33762728664² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 33762728664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914809 + ... + 950999.

It is an arithmetic number, because the mean of its divisors is an integer number (838749600).

Almost surely, 2^33762728664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33762728664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53679974400).

33762728664 is an abundant number, since it is smaller than the sum of its proper divisors (73597220136).

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

33762728664 is a wasteful number, since it uses less digits than its factorization.

33762728664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36830 (or 36820 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 33762728664 in words is "thirty-three billion, seven hundred sixty-two million, seven hundred twenty-eight thousand, six hundred sixty-four".