74748328704 has 972 divisors, whose sum is σ = 278990056800. Its totient is φ = 19161612288.

The previous prime is 74748328693. The next prime is 74748328771. The reversal of 74748328704 is 40782384747.

74748328704 is a `hidden beast` number, since 7 + 474 + 83 + 28 + 70 + 4 = 666.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 946181337 + ... + 946181415.

Almost surely, 2^74748328704 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 74748328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139495028400).

74748328704 is an abundant number, since it is smaller than the sum of its proper divisors (204241728096).

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

74748328704 is a wasteful number, since it uses less digits than its factorization.

74748328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 74748328704 in words is "seventy-four billion, seven hundred forty-eight million, three hundred twenty-eight thousand, seven hundred four".