74380838400 has 720 divisors, whose sum is σ = 294459010560. Its totient is φ = 17779507200.

The previous prime is 74380838393. The next prime is 74380838401. The reversal of 74380838400 is 483808347.

It is a happy number.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74380838401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100108429 + ... + 100109171.

It is an arithmetic number, because the mean of its divisors is an integer number (408970848).

Almost surely, 2^74380838400 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 74380838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147229505280).

74380838400 is an abundant number, since it is smaller than the sum of its proper divisors (220078172160).

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

74380838400 is a wasteful number, since it uses less digits than its factorization.

74380838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 74380838400 in words is "seventy-four billion, three hundred eighty million, eight hundred thirty-eight thousand, four hundred".