33791408640 has 1440 divisors, whose sum is σ = 146708610048. Its totient is φ = 7136870400.

The previous prime is 33791408603. The next prime is 33791408647. The reversal of 33791408640 is 4680419733.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×33791408640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (33791408647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1090045425 + ... + 1090045455.

Almost surely, 2^33791408640 is an apocalyptic number.

33791408640 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 33791408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73354305024).

33791408640 is an abundant number, since it is smaller than the sum of its proper divisors (112917201408).

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

33791408640 is a wasteful number, since it uses less digits than its factorization.

33791408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 33791408640 in words is "thirty-three billion, seven hundred ninety-one million, four hundred eight thousand, six hundred forty".