33138631680 has 352 divisors, whose sum is σ = 132150389760. Its totient is φ = 6885703680.

The previous prime is 33138631639. The next prime is 33138631693. The reversal of 33138631680 is 8613683133.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1168711 + ... + 1196729.

Almost surely, 2^33138631680 is an apocalyptic number.

33138631680 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 33138631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66075194880).

33138631680 is an abundant number, since it is smaller than the sum of its proper divisors (99011758080).

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

33138631680 is a wasteful number, since it uses less digits than its factorization.

33138631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28065 (or 28047 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 33138631680 in words is "thirty-three billion, one hundred thirty-eight million, six hundred thirty-one thousand, six hundred eighty".