33742643945472 has 1792 divisors, whose sum is σ = 127801869465600. Its totient is φ = 8545558855680.

The previous prime is 33742643945431. The next prime is 33742643945477. The reversal of 33742643945472 is 27454934624733.

33742643945472 is a `hidden beast` number, since 3 + 3 + 7 + 42 + 6 + 43 + 9 + 4 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×33742643945472² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33742643945477) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171282456478 + ... + 171282456674.

Almost surely, 2^{33742643945472} is an apocalyptic number.

33742643945472 is a gapful number since it is divisible by the number (32) 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 33742643945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63900934732800).

33742643945472 is an abundant number, since it is smaller than the sum of its proper divisors (94059225520128).

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

33742643945472 is a wasteful number, since it uses less digits than its factorization.

33742643945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 422 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 63.

The spelling of 33742643945472 in words is "thirty-three trillion, seven hundred forty-two billion, six hundred forty-three million, nine hundred forty-five thousand, four hundred seventy-two".