74163735360 has 1344 divisors, whose sum is σ = 319740954624. Its totient is φ = 15527116800.

The previous prime is 74163735343. The next prime is 74163735377. The reversal of 74163735360 is 6353736147.

It is a happy number.

74163735360 is a `hidden beast` number, since 7 + 4 + 1 + 637 + 3 + 5 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74163735343) and next prime (74163735377).

It is a super-2 number, since 2×74163735360² (a number of 23 digits) contains 22 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 (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472380402 + ... + 472380558.

It is an arithmetic number, because the mean of its divisors is an integer number (237902496).

Almost surely, 2^74163735360 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 74163735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159870477312).

74163735360 is an abundant number, since it is smaller than the sum of its proper divisors (245577219264).

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

74163735360 is a wasteful number, since it uses less digits than its factorization.

74163735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 74163735360 in words is "seventy-four billion, one hundred sixty-three million, seven hundred thirty-five thousand, three hundred sixty".