79743744000 has 768 divisors, whose sum is σ = 300500928000. Its totient is φ = 20857651200.

The previous prime is 79743743993. The next prime is 79743744001. The reversal of 79743744000 is 44734797.

It is a tau number, because it is divible by the number of its divisors (768).

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 (79743744001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573695931 + ... + 573696069.

It is an arithmetic number, because the mean of its divisors is an integer number (391277250).

Almost surely, 2^79743744000 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 79743744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150250464000).

79743744000 is an abundant number, since it is smaller than the sum of its proper divisors (220757184000).

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

79743744000 is a wasteful number, since it uses less digits than its factorization.

79743744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 79743744000 in words is "seventy-nine billion, seven hundred forty-three million, seven hundred forty-four thousand".