789744749472 has 384 divisors, whose sum is σ = 2781228441600. Its totient is φ = 213223062528.

The previous prime is 789744749467. The next prime is 789744749477. The reversal of 789744749472 is 274947447987.

It is a happy number.

789744749472 is a `hidden beast` number, since 7 + 8 + 9 + 74 + 47 + 49 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (789744749467) and next prime (789744749477).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 789744749472.

It is not an unprimeable number, because it can be changed into a prime (789744749477) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8195523 + ... + 8291325.

It is an arithmetic number, because the mean of its divisors is an integer number (7242782400).

Almost surely, 2^789744749472 is an apocalyptic number.

789744749472 is a gapful number since it is divisible by the number (72) 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 789744749472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390614220800).

789744749472 is an abundant number, since it is smaller than the sum of its proper divisors (1991483692128).

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

789744749472 is a wasteful number, since it uses less digits than its factorization.

789744749472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95905 (or 95891 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 789744749472 in words is "seven hundred eighty-nine billion, seven hundred forty-four million, seven hundred forty-nine thousand, four hundred seventy-two".