33730406016 has 128 divisors (see below), whose sum is σ = 94420045440. Its totient is φ = 10647859200.

The previous prime is 33730405997. The next prime is 33730406029. The reversal of 33730406016 is 61060403733.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33730406016² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873126 + ... + 910938.

It is an arithmetic number, because the mean of its divisors is an integer number (737656605).

Almost surely, 2^33730406016 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 33730406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47210022720).

33730406016 is an abundant number, since it is smaller than the sum of its proper divisors (60689639424).

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

33730406016 is a wasteful number, since it uses less digits than its factorization.

33730406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37954 (or 37942 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

Adding to 33730406016 its reverse (61060403733), we get a palindrome (94790809749).

The spelling of 33730406016 in words is "thirty-three billion, seven hundred thirty million, four hundred six thousand, sixteen".