74222438400 has 720 divisors, whose sum is σ = 300079699920. Its totient is φ = 17982259200.

The previous prime is 74222438393. The next prime is 74222438467. The reversal of 74222438400 is 483422247.

74222438400 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 243 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45618387 + ... + 45620013.

It is an arithmetic number, because the mean of its divisors is an integer number (416777361).

Almost surely, 2^74222438400 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 74222438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150039849960).

74222438400 is an abundant number, since it is smaller than the sum of its proper divisors (225857261520).

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

74222438400 is a wasteful number, since it uses less digits than its factorization.

74222438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 74222438400 in words is "seventy-four billion, two hundred twenty-two million, four hundred thirty-eight thousand, four hundred".