74012427720 has 768 divisors, whose sum is σ = 323805081600. Its totient is φ = 14199736320.

The previous prime is 74012427661. The next prime is 74012427737. The reversal of 74012427720 is 2772421047.

It is a happy number.

74012427720 is a `hidden beast` number, since 7 + 401 + 242 + 7 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18487239 + ... + 18491241.

It is an arithmetic number, because the mean of its divisors is an integer number (421621200).

Almost surely, 2^74012427720 is an apocalyptic number.

74012427720 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 74012427720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161902540800).

74012427720 is an abundant number, since it is smaller than the sum of its proper divisors (249792653880).

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

74012427720 is a wasteful number, since it uses less digits than its factorization.

74012427720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

Adding to 74012427720 its reverse (2772421047), we get a palindrome (76784848767).

The spelling of 74012427720 in words is "seventy-four billion, twelve million, four hundred twenty-seven thousand, seven hundred twenty".