74473872120 has 768 divisors, whose sum is σ = 280215936000. Its totient is φ = 17703899136.

The previous prime is 74473872079. The next prime is 74473872127. The reversal of 74473872120 is 2127837447.

74473872120 is a `hidden beast` number, since 7 + 447 + 3 + 87 + 2 + 120 = 666.

It is a super-2 number, since 2×74473872120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74473872127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 378039862 + ... + 378040058.

It is an arithmetic number, because the mean of its divisors is an integer number (364864500).

Almost surely, 2^74473872120 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 74473872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140107968000).

74473872120 is an abundant number, since it is smaller than the sum of its proper divisors (205742063880).

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

74473872120 is a wasteful number, since it uses less digits than its factorization.

74473872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 74473872120 in words is "seventy-four billion, four hundred seventy-three million, eight hundred seventy-two thousand, one hundred twenty".