74218959360 has 1080 divisors, whose sum is σ = 324609173460. Its totient is φ = 15619129344.

The previous prime is 74218959341. The next prime is 74218959379. The reversal of 74218959360 is 6395981247.

74218959360 is a `hidden beast` number, since 7 + 42 + 1 + 8 + 9 + 593 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74218959341) and next prime (74218959379).

It can be written as a sum of positive squares in 6 ways, for example, as 2506404096 + 71712555264 = 50064^2 + 267792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74218959297 and 74218959306.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 190794046 + ... + 190794434.

It is a 1-persistent number, because it is pandigital, but 2⋅74218959360 = 148437918720 is not.

Almost surely, 2^74218959360 is an apocalyptic number.

74218959360 is a gapful number since it is divisible by the number (70) 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 74218959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162304586730).

74218959360 is an abundant number, since it is smaller than the sum of its proper divisors (250390214100).

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

74218959360 is a wasteful number, since it uses less digits than its factorization.

74218959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 74218959360 in words is "seventy-four billion, two hundred eighteen million, nine hundred fifty-nine thousand, three hundred sixty".