33478601000800 has 72 divisors (see below), whose sum is σ = 81900261172800. Its totient is φ = 13363483169280.

The previous prime is 33478601000699. The next prime is 33478601000833. The reversal of 33478601000800 is 800010687433.

It is a super-2 number, since 2×33478601000800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43299735 + ... + 44066134.

It is an arithmetic number, because the mean of its divisors is an integer number (1137503627400).

Almost surely, 2^{33478601000800} is an apocalyptic number.

It is an amenable number.

33478601000800 is an abundant number, since it is smaller than the sum of its proper divisors (48421660172000).

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

33478601000800 is a wasteful number, since it uses less digits than its factorization.

33478601000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87366368 (or 87366355 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 33478601000800 in words is "thirty-three trillion, four hundred seventy-eight billion, six hundred one million, eight hundred", and thus it is an aban number.