74049487200 has 504 divisors, whose sum is σ = 291914785008. Its totient is φ = 18225699840.

The previous prime is 74049487177. The next prime is 74049487223. The reversal of 74049487200 is 278494047.

It is an interprime number because it is at equal distance from previous prime (74049487177) and next prime (74049487223).

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7576717 + ... + 7586483.

It is an arithmetic number, because the mean of its divisors is an integer number (579196002).

Almost surely, 2^74049487200 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 74049487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145957392504).

74049487200 is an abundant number, since it is smaller than the sum of its proper divisors (217865297808).

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

74049487200 is a wasteful number, since it uses less digits than its factorization.

74049487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 74049487200 in words is "seventy-four billion, forty-nine million, four hundred eighty-seven thousand, two hundred".