33076966228992 has 704 divisors, whose sum is σ = 112985239920640. Its totient is φ = 9363711393792.

The previous prime is 33076966228987. The next prime is 33076966228993. The reversal of 33076966228992 is 29982266967033.

33076966228992 is a `hidden beast` number, since 3 + 307 + 6 + 9 + 6 + 6 + 228 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 33076966228992.

It is not an unprimeable number, because it can be changed into a prime (33076966228993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11577515628 + ... + 11577518484.

Almost surely, 2^{33076966228992} is an apocalyptic number.

33076966228992 is a gapful number since it is divisible by the number (32) 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 33076966228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56492619960320).

33076966228992 is an abundant number, since it is smaller than the sum of its proper divisors (79908273691648).

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

33076966228992 is a wasteful number, since it uses less digits than its factorization.

33076966228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 33076966228992 in words is "thirty-three trillion, seventy-six billion, nine hundred sixty-six million, two hundred twenty-eight thousand, nine hundred ninety-two".