33668036640 has 384 divisors, whose sum is σ = 140530360320. Its totient is φ = 7360809984.

The previous prime is 33668036639. The next prime is 33668036653. The reversal of 33668036640 is 4663086633.

It is a super-2 number, since 2×33668036640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671317 + ... + 719723.

It is an arithmetic number, because the mean of its divisors is an integer number (365964480).

Almost surely, 2^33668036640 is an apocalyptic number.

33668036640 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 33668036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70265180160).

33668036640 is an abundant number, since it is smaller than the sum of its proper divisors (106862323680).

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

33668036640 is a wasteful number, since it uses less digits than its factorization.

33668036640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48461 (or 48447 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 33668036640 in words is "thirty-three billion, six hundred sixty-eight million, thirty-six thousand, six hundred forty".