33678759972 has 384 divisors, whose sum is σ = 99666395136. Its totient is φ = 8709120000.

The previous prime is 33678759913. The next prime is 33678759973. The reversal of 33678759972 is 27995787633.

It is a super-2 number, since 2×33678759972² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (33678759973) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 139745772 + ... + 139746012.

It is an arithmetic number, because the mean of its divisors is an integer number (259547904).

Almost surely, 2^33678759972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33678759972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49833197568).

33678759972 is an abundant number, since it is smaller than the sum of its proper divisors (65987635164).

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

33678759972 is a wasteful number, since it uses less digits than its factorization.

33678759972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 66.

The spelling of 33678759972 in words is "thirty-three billion, six hundred seventy-eight million, seven hundred fifty-nine thousand, nine hundred seventy-two".