74803478400 has 576 divisors, whose sum is σ = 318473478000. Its totient is φ = 17096970240.

The previous prime is 74803478371. The next prime is 74803478413. The reversal of 74803478400 is 487430847.

74803478400 is a `hidden beast` number, since 74 + 80 + 34 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4224766 + ... + 4242434.

Almost surely, 2^74803478400 is an apocalyptic number.

74803478400 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 74803478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159236739000).

74803478400 is an abundant number, since it is smaller than the sum of its proper divisors (243669999600).

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

74803478400 is a wasteful number, since it uses less digits than its factorization.

74803478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17716 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 74803478400 in words is "seventy-four billion, eight hundred three million, four hundred seventy-eight thousand, four hundred".