33279916400640 has 4032 divisors, whose sum is σ = 155898378941760. Its totient is φ = 6742112993280.

The previous prime is 33279916400603. The next prime is 33279916400713. The reversal of 33279916400640 is 4600461997233.

It is a happy number.

33279916400640 is a `hidden beast` number, since 332 + 7 + 99 + 164 + 0 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×33279916400640² (a number of 28 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 287 ways as a sum of consecutive naturals, for example, 183866941350 + ... + 183866941530.

It is an arithmetic number, because the mean of its divisors is an integer number (38665272555).

Almost surely, 2^{33279916400640} is an apocalyptic number.

33279916400640 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 33279916400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77949189470880).

33279916400640 is an abundant number, since it is smaller than the sum of its proper divisors (122618462541120).

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

33279916400640 is a wasteful number, since it uses less digits than its factorization.

33279916400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 33279916400640 in words is "thirty-three trillion, two hundred seventy-nine billion, nine hundred sixteen million, four hundred thousand, six hundred forty".