74206251360 has 336 divisors, whose sum is σ = 265492760400. Its totient is φ = 19589299200.

The previous prime is 74206251331. The next prime is 74206251367. The reversal of 74206251360 is 6315260247.

74206251360 is a `hidden beast` number, since 7 + 4 + 20 + 62 + 513 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74206251367) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 11777491 + ... + 11783789.

It is an arithmetic number, because the mean of its divisors is an integer number (790157025).

Almost surely, 2^74206251360 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 74206251360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132746380200).

74206251360 is an abundant number, since it is smaller than the sum of its proper divisors (191286509040).

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

74206251360 is a wasteful number, since it uses less digits than its factorization.

74206251360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 74206251360 in words is "seventy-four billion, two hundred six million, two hundred fifty-one thousand, three hundred sixty".