74784245760 has 768 divisors, whose sum is σ = 321823756800. Its totient is φ = 16080961536.

The previous prime is 74784245741. The next prime is 74784245819. The reversal of 74784245760 is 6754248747.

74784245760 is a `hidden beast` number, since 7 + 47 + 8 + 4 + 24 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 74784245697 and 74784245706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32899984 + ... + 32902256.

It is an arithmetic number, because the mean of its divisors is an integer number (419041350).

Almost surely, 2^74784245760 is an apocalyptic number.

74784245760 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 74784245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160911878400).

74784245760 is an abundant number, since it is smaller than the sum of its proper divisors (247039511040).

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

74784245760 is a wasteful number, since it uses less digits than its factorization.

74784245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 74784245760 in words is "seventy-four billion, seven hundred eighty-four million, two hundred forty-five thousand, seven hundred sixty".