8744736000 has 1296 divisors, whose sum is σ = 39912844608. Its totient is φ = 1677312000.

The previous prime is 8744735977. The next prime is 8744736001. The reversal of 8744736000 is 6374478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8744736000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8744736001) 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, 672671994 + ... + 672672006.

It is an arithmetic number, because the mean of its divisors is an integer number (30796948).

Almost surely, 2^8744736000 is an apocalyptic number.

8744736000 is a gapful number since it is divisible by the number (80) 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 8744736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956422304).

8744736000 is an abundant number, since it is smaller than the sum of its proper divisors (31168108608).

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

8744736000 is a wasteful number, since it uses less digits than its factorization.

8744736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 8744736000 is about 93513.2931726821. The cubic root of 8744736000 is about 2060.2293394713.

The spelling of 8744736000 in words is "eight billion, seven hundred forty-four million, seven hundred thirty-six thousand".