99740031634800 has 720 divisors, whose sum is σ = 385917892888320. Its totient is φ = 23706473472000.

The previous prime is 99740031634699. The next prime is 99740031634801. The reversal of 99740031634800 is 843613004799.

It is a happy number.

99740031634800 is a `hidden beast` number, since 9 + 9 + 74 + 0 + 0 + 31 + 63 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99740031634801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3454664365 + ... + 3454693235.

It is an arithmetic number, because the mean of its divisors is an integer number (535997073456).

Almost surely, 2^{99740031634800} is an apocalyptic number.

99740031634800 is a gapful number since it is divisible by the number (90) 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 99740031634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192958946444160).

99740031634800 is an abundant number, since it is smaller than the sum of its proper divisors (286177861253520).

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

99740031634800 is a wasteful number, since it uses less digits than its factorization.

99740031634800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31902 (or 31888 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 99740031634800 in words is "ninety-nine trillion, seven hundred forty billion, thirty-one million, six hundred thirty-four thousand, eight hundred".