74553606586368 has 2520 divisors, whose sum is σ = 288084748271040. Its totient is φ = 19102653480960.

The previous prime is 74553606586343. The next prime is 74553606586369. The reversal of 74553606586368 is 86368560635547.

74553606586368 is a `hidden beast` number, since 7 + 4 + 5 + 5 + 3 + 6 + 0 + 6 + 586 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 74553606586296 and 74553606586305.

It is not an unprimeable number, because it can be changed into a prime (74553606586369) 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 167 ways as a sum of consecutive naturals, for example, 311939776393 + ... + 311939776631.

It is an arithmetic number, because the mean of its divisors is an integer number (114319344552).

Almost surely, 2^{74553606586368} is an apocalyptic number.

74553606586368 is a gapful number since it is divisible by the number (78) 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 74553606586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144042374135520).

74553606586368 is an abundant number, since it is smaller than the sum of its proper divisors (213531141684672).

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

74553606586368 is an equidigital number, since it uses as much as digits as its factorization.

74553606586368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 72.

The spelling of 74553606586368 in words is "seventy-four trillion, five hundred fifty-three billion, six hundred six million, five hundred eighty-six thousand, three hundred sixty-eight".