33791046876 has 72 divisors (see below), whose sum is σ = 87267267360. Its totient is φ = 11022206976.

The previous prime is 33791046871. The next prime is 33791046881. The reversal of 33791046876 is 67864019733.

33791046876 is a `hidden beast` number, since 33 + 79 + 10 + 468 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (33791046871) and next prime (33791046881).

It is a super-4 number, since 4×33791046876⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33791046871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256425 + ... + 365151.

It is an arithmetic number, because the mean of its divisors is an integer number (1212045380).

Almost surely, 2^33791046876 is an apocalyptic number.

33791046876 is a gapful number since it is divisible by the number (36) 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 33791046876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43633633680).

33791046876 is an abundant number, since it is smaller than the sum of its proper divisors (53476220484).

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

33791046876 is a wasteful number, since it uses less digits than its factorization.

33791046876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108923 (or 108918 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 33791046876 in words is "thirty-three billion, seven hundred ninety-one million, forty-six thousand, eight hundred seventy-six".