33378965760 has 288 divisors, whose sum is σ = 123836573952. Its totient is φ = 7504035840.

The previous prime is 33378965747. The next prime is 33378965779. The reversal of 33378965760 is 6756987333.

It is a happy number.

It is a super-2 number, since 2×33378965760² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33378965760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1629502 + ... + 1649858.

It is an arithmetic number, because the mean of its divisors is an integer number (429988104).

Almost surely, 2^33378965760 is an apocalyptic number.

33378965760 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 33378965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61918286976).

33378965760 is an abundant number, since it is smaller than the sum of its proper divisors (90457608192).

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

33378965760 is a wasteful number, since it uses less digits than its factorization.

33378965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20449 (or 20435 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 33378965760 in words is "thirty-three billion, three hundred seventy-eight million, nine hundred sixty-five thousand, seven hundred sixty".