33793007040 has 168 divisors, whose sum is σ = 125175068928. Its totient is φ = 8318269440.

The previous prime is 33793007033. The next prime is 33793007063. The reversal of 33793007040 is 4070039733.

It is a super-2 number, since 2×33793007040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33793006986 and 33793007004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413856 + ... + 488735.

It is an arithmetic number, because the mean of its divisors is an integer number (745089696).

Almost surely, 2^33793007040 is an apocalyptic number.

33793007040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33793007040 is an abundant number, since it is smaller than the sum of its proper divisors (91382061888).

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

33793007040 is a wasteful number, since it uses less digits than its factorization.

33793007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902627 (or 902614 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The spelling of 33793007040 in words is "thirty-three billion, seven hundred ninety-three million, seven thousand, forty".