8949924949800 has 384 divisors, whose sum is σ = 28469777817600. Its totient is φ = 2325209103360.

The previous prime is 8949924949787. The next prime is 8949924949831. The reversal of 8949924949800 is 89494299498.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1407439021 + ... + 1407445379.

It is an arithmetic number, because the mean of its divisors is an integer number (74140046400).

Almost surely, 2^{8949924949800} 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 8949924949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234888908800).

8949924949800 is an abundant number, since it is smaller than the sum of its proper divisors (19519852867800).

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

8949924949800 is a wasteful number, since it uses less digits than its factorization.

8949924949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 75.

The spelling of 8949924949800 in words is "eight trillion, nine hundred forty-nine billion, nine hundred twenty-four million, nine hundred forty-nine thousand, eight hundred".