74533429152 has 720 divisors, whose sum is σ = 274984174080. Its totient is φ = 19389487104.

The previous prime is 74533429133. The next prime is 74533429207. The reversal of 74533429152 is 25192433547.

It is a happy number.

74533429152 is a `hidden beast` number, since 7 + 45 + 33 + 429 + 152 = 666.

It is a super-2 number, since 2×74533429152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74533429098 and 74533429107.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 334230513 + ... + 334230735.

It is an arithmetic number, because the mean of its divisors is an integer number (381922464).

Almost surely, 2^74533429152 is an apocalyptic number.

74533429152 is a gapful number since it is divisible by the number (72) 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 74533429152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137492087040).

74533429152 is an abundant number, since it is smaller than the sum of its proper divisors (200450744928).

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

74533429152 is a wasteful number, since it uses less digits than its factorization.

74533429152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 357 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 74533429152 in words is "seventy-four billion, five hundred thirty-three million, four hundred twenty-nine thousand, one hundred fifty-two".