74534546160 has 240 divisors, whose sum is σ = 256798563840. Its totient is φ = 19362263040.

The previous prime is 74534546117. The next prime is 74534546183. The reversal of 74534546160 is 6164543547.

74534546160 is a `hidden beast` number, since 7 + 4 + 534 + 54 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×74534546160³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25887601 + ... + 25890479.

It is an arithmetic number, because the mean of its divisors is an integer number (1069994016).

Almost surely, 2^74534546160 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 74534546160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128399281920).

74534546160 is an abundant number, since it is smaller than the sum of its proper divisors (182264017680).

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

74534546160 is a wasteful number, since it uses less digits than its factorization.

74534546160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 74534546160 in words is "seventy-four billion, five hundred thirty-four million, five hundred forty-six thousand, one hundred sixty".