74476800000 has 576 divisors, whose sum is σ = 276394809600. Its totient is φ = 19814400000.

The previous prime is 74476799939. The next prime is 74476800007. The reversal of 74476800000 is 867447.

It is a happy number.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74476800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172799785 + ... + 172800215.

It is an arithmetic number, because the mean of its divisors is an integer number (479852100).

Almost surely, 2^74476800000 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 74476800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138197404800).

74476800000 is an abundant number, since it is smaller than the sum of its proper divisors (201918009600).

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

74476800000 is an frugal number, since it uses more digits than its factorization.

74476800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 74476800000 in words is "seventy-four billion, four hundred seventy-six million, eight hundred thousand".