33734554064640 has 1728 divisors, whose sum is σ = 145342834237440. Its totient is φ = 7304446771200.

The previous prime is 33734554064593. The next prime is 33734554064641. The reversal of 33734554064640 is 4646045543733.

It is a happy number.

33734554064640 is a `hidden beast` number, since 3 + 3 + 7 + 3 + 4 + 554 + 0 + 6 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×33734554064640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33734554064641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4749335329 + ... + 4749342431.

It is an arithmetic number, because the mean of its divisors is an integer number (84110436480).

Almost surely, 2^{33734554064640} is an apocalyptic number.

33734554064640 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 33734554064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72671417118720).

33734554064640 is an abundant number, since it is smaller than the sum of its proper divisors (111608280172800).

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

33734554064640 is a wasteful number, since it uses less digits than its factorization.

33734554064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7219 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 54.

The spelling of 33734554064640 in words is "thirty-three trillion, seven hundred thirty-four billion, five hundred fifty-four million, sixty-four thousand, six hundred forty".