74127699360 has 432 divisors, whose sum is σ = 298828359648. Its totient is φ = 16587417600.

The previous prime is 74127699353. The next prime is 74127699367. The reversal of 74127699360 is 6399672147.

It is a happy number.

74127699360 is a `hidden beast` number, since 7 + 4 + 1 + 276 + 9 + 9 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (74127699353) and next prime (74127699367).

It is a junction number, because it is equal to n+sod(n) for n = 74127699297 and 74127699306.

It is not an unprimeable number, because it can be changed into a prime (74127699367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2663115 + ... + 2690805.

It is an arithmetic number, because the mean of its divisors is an integer number (691732314).

Almost surely, 2^74127699360 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 74127699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149414179824).

74127699360 is an abundant number, since it is smaller than the sum of its proper divisors (224700660288).

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

74127699360 is a wasteful number, since it uses less digits than its factorization.

74127699360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27749 (or 27725 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 74127699360 in words is "seventy-four billion, one hundred twenty-seven million, six hundred ninety-nine thousand, three hundred sixty".