74288057760 has 288 divisors, whose sum is σ = 299070600192. Its totient is φ = 16432312320.

The previous prime is 74288057749. The next prime is 74288057821. The reversal of 74288057760 is 6775088247.

It is a happy number.

74288057760 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 8 + 0 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 74288057697 and 74288057706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193612 + ... + 431348.

It is an arithmetic number, because the mean of its divisors is an integer number (1038439584).

Almost surely, 2^74288057760 is an apocalyptic number.

74288057760 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 74288057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149535300096).

74288057760 is an abundant number, since it is smaller than the sum of its proper divisors (224782542432).

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

74288057760 is a wasteful number, since it uses less digits than its factorization.

74288057760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237796 (or 237785 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 74288057760 in words is "seventy-four billion, two hundred eighty-eight million, fifty-seven thousand, seven hundred sixty".