74132291653056 has 672 divisors, whose sum is σ = 262288766638080. Its totient is φ = 19494171721728.

The previous prime is 74132291653051. The next prime is 74132291653087. The reversal of 74132291653056 is 65035619223147.

74132291653056 is a `hidden beast` number, since 7 + 4 + 1 + 32 + 29 + 1 + 6 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 74132291652993 and 74132291653011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74132291653051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37196331996 + ... + 37196333988.

It is an arithmetic number, because the mean of its divisors is an integer number (390310664640).

Almost surely, 2^{74132291653056} 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 74132291653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131144383319040).

74132291653056 is an abundant number, since it is smaller than the sum of its proper divisors (188156474985024).

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

74132291653056 is a wasteful number, since it uses less digits than its factorization.

74132291653056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 74132291653056 in words is "seventy-four trillion, one hundred thirty-two billion, two hundred ninety-one million, six hundred fifty-three thousand, fifty-six".