33642004480 has 540 divisors, whose sum is σ = 103210151940. Its totient is φ = 10481565696.

The previous prime is 33642004441. The next prime is 33642004483. The reversal of 33642004480 is 8440024633.

It can be written as a sum of positive squares in 6 ways, for example, as 1849688064 + 31792316416 = 43008^2 + 178304^2 .

It is a super-2 number, since 2×33642004480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33642004483) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1160069106 + ... + 1160069134.

It is an arithmetic number, because the mean of its divisors is an integer number (191129911).

Almost surely, 2^33642004480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33642004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51605075970).

33642004480 is an abundant number, since it is smaller than the sum of its proper divisors (69568147460).

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

33642004480 is an equidigital number, since it uses as much as digits as its factorization.

33642004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 33642004480 in words is "thirty-three billion, six hundred forty-two million, four thousand, four hundred eighty".