33999568680 has 512 divisors, whose sum is σ = 135829094400. Its totient is φ = 6599577600.

The previous prime is 33999568679. The next prime is 33999568697. The reversal of 33999568680 is 8686599933.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8304714 + ... + 8308806.

It is an arithmetic number, because the mean of its divisors is an integer number (265291200).

Almost surely, 2^33999568680 is an apocalyptic number.

33999568680 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 33999568680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67914547200).

33999568680 is an abundant number, since it is smaller than the sum of its proper divisors (101829525720).

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

33999568680 is a wasteful number, since it uses less digits than its factorization.

33999568680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 33999568680 in words is "thirty-three billion, nine hundred ninety-nine million, five hundred sixty-eight thousand, six hundred eighty".