33678998640 has 320 divisors, whose sum is σ = 132797214720. Its totient is φ = 7685314560.

The previous prime is 33678998623. The next prime is 33678998657. The reversal of 33678998640 is 4689987633.

It is an interprime number because it is at equal distance from previous prime (33678998623) and next prime (33678998657).

It is a super-2 number, since 2×33678998640² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11504857 + ... + 11507783.

It is an arithmetic number, because the mean of its divisors is an integer number (414991296).

Almost surely, 2^33678998640 is an apocalyptic number.

33678998640 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 33678998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66398607360).

33678998640 is an abundant number, since it is smaller than the sum of its proper divisors (99118216080).

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

33678998640 is a wasteful number, since it uses less digits than its factorization.

33678998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 33678998640 in words is "thirty-three billion, six hundred seventy-eight million, nine hundred ninety-eight thousand, six hundred forty".