74892988800 has 576 divisors, whose sum is σ = 316746393600. Its totient is φ = 17117153280.

The previous prime is 74892988741. The next prime is 74892988813. The reversal of 74892988800 is 888929847.

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 (63).

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, 5436321 + ... + 5450079.

Almost surely, 2^74892988800 is an apocalyptic number.

74892988800 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 74892988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158373196800).

74892988800 is an abundant number, since it is smaller than the sum of its proper divisors (241853404800).

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

74892988800 is a wasteful number, since it uses less digits than its factorization.

74892988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13805 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 74892988800 in words is "seventy-four billion, eight hundred ninety-two million, nine hundred eighty-eight thousand, eight hundred".