33742054656 has 216 divisors, whose sum is σ = 104150335744. Its totient is φ = 10883911680.

The previous prime is 33742054583. The next prime is 33742054729. The reversal of 33742054656 is 65645024733.

33742054656 is a `hidden beast` number, since 3 + 37 + 4 + 20 + 546 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (33742054583) and next prime (33742054729).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×33742054656² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1919700 + ... + 1937196.

Almost surely, 2^33742054656 is an apocalyptic number.

33742054656 is a gapful number since it is divisible by the number (36) 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 33742054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52075167872).

33742054656 is an abundant number, since it is smaller than the sum of its proper divisors (70408281088).

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

33742054656 is an equidigital number, since it uses as much as digits as its factorization.

33742054656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17559 (or 17533 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 33742054656 in words is "thirty-three billion, seven hundred forty-two million, fifty-four thousand, six hundred fifty-six".