33066873840 has 960 divisors, whose sum is σ = 143140838400. Its totient is φ = 6222827520.

The previous prime is 33066873823. The next prime is 33066873857. The reversal of 33066873840 is 4837866033.

It is an interprime number because it is at equal distance from previous prime (33066873823) and next prime (33066873857).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 33066873840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 623903254 + ... + 623903306.

It is an arithmetic number, because the mean of its divisors is an integer number (149105040).

Almost surely, 2^33066873840 is an apocalyptic number.

33066873840 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 33066873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71570419200).

33066873840 is an abundant number, since it is smaller than the sum of its proper divisors (110073964560).

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

33066873840 is a wasteful number, since it uses less digits than its factorization.

33066873840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 33066873840 in words is "thirty-three billion, sixty-six million, eight hundred seventy-three thousand, eight hundred forty".