33398590680 has 768 divisors, whose sum is σ = 141040972800. Its totient is φ = 6920017920.

The previous prime is 33398590679. The next prime is 33398590691. The reversal of 33398590680 is 8609589333.

It is a super-2 number, since 2×33398590680² (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 191 ways as a sum of consecutive naturals, for example, 53955411 + ... + 53956029.

It is an arithmetic number, because the mean of its divisors is an integer number (183647100).

Almost surely, 2^33398590680 is an apocalyptic number.

33398590680 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 33398590680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70520486400).

33398590680 is an abundant number, since it is smaller than the sum of its proper divisors (107642382120).

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

33398590680 is a wasteful number, since it uses less digits than its factorization.

33398590680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 33398590680 in words is "thirty-three billion, three hundred ninety-eight million, five hundred ninety thousand, six hundred eighty".