33625464768 has 224 divisors, whose sum is σ = 113119326720. Its totient is φ = 9594961920.

The previous prime is 33625464731. The next prime is 33625464791. The reversal of 33625464768 is 86746452633.

33625464768 is a `hidden beast` number, since 3 + 3 + 625 + 4 + 6 + 4 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×33625464768² (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 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, 13945483 + ... + 13947893.

Almost surely, 2^33625464768 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 33625464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56559663360).

33625464768 is an abundant number, since it is smaller than the sum of its proper divisors (79493861952).

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

33625464768 is a wasteful number, since it uses less digits than its factorization.

33625464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3576 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 33625464768 in words is "thirty-three billion, six hundred twenty-five million, four hundred sixty-four thousand, seven hundred sixty-eight".