33890776064 has 88 divisors (see below), whose sum is σ = 71579496000. Its totient is φ = 15993815040.

The previous prime is 33890776063. The next prime is 33890776097. The reversal of 33890776064 is 46067709833.

It is a super-2 number, since 2×33890776064² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33890775997 and 33890776015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33890776063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5464037 + ... + 5470235.

Almost surely, 2^33890776064 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 33890776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35789748000).

33890776064 is an abundant number, since it is smaller than the sum of its proper divisors (37688719936).

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

33890776064 is a wasteful number, since it uses less digits than its factorization.

33890776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 53.

The spelling of 33890776064 in words is "thirty-three billion, eight hundred ninety million, seven hundred seventy-six thousand, sixty-four".