74545809408 has 576 divisors, whose sum is σ = 262512432000. Its totient is φ = 20474560512.

The previous prime is 74545809361. The next prime is 74545809431. The reversal of 74545809408 is 80490854547.

It is a happy number.

74545809408 is a `hidden beast` number, since 7 + 4 + 54 + 580 + 9 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×74545809408² (a number of 23 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325527438 + ... + 325527666.

It is an arithmetic number, because the mean of its divisors is an integer number (455750750).

Almost surely, 2^74545809408 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 74545809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131256216000).

74545809408 is an abundant number, since it is smaller than the sum of its proper divisors (187966622592).

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

74545809408 is a wasteful number, since it uses less digits than its factorization.

74545809408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 74545809408 in words is "seventy-four billion, five hundred forty-five million, eight hundred nine thousand, four hundred eight".