74006757120 has 288 divisors, whose sum is σ = 249326138880. Its totient is φ = 18656870400.

The previous prime is 74006757103. The next prime is 74006757127. The reversal of 74006757120 is 2175760047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74006757127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 51144237 + ... + 51145683.

It is an arithmetic number, because the mean of its divisors is an integer number (865715760).

Almost surely, 2^74006757120 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 74006757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124663069440).

74006757120 is an abundant number, since it is smaller than the sum of its proper divisors (175319381760).

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

74006757120 is a wasteful number, since it uses less digits than its factorization.

74006757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 74006757120 in words is "seventy-four billion, six million, seven hundred fifty-seven thousand, one hundred twenty".