99743616000 has 2112 divisors, whose sum is σ = 465969254400. Its totient is φ = 20901888000.

The previous prime is 99743615987. The next prime is 99743616001. The reversal of 99743616000 is 61634799.

99743616000 is a `hidden beast` number, since 9 + 9 + 7 + 4 + 36 + 1 + 600 + 0 = 666.

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 (99743616001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3217535985 + ... + 3217536015.

Almost surely, 2^99743616000 is an apocalyptic number.

99743616000 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 99743616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232984627200).

99743616000 is an abundant number, since it is smaller than the sum of its proper divisors (366225638400).

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

99743616000 is a wasteful number, since it uses less digits than its factorization.

99743616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 99743616000 in words is "ninety-nine billion, seven hundred forty-three million, six hundred sixteen thousand".