7389484992288 has 384 divisors, whose sum is σ = 25958548224000. Its totient is φ = 1997806187520.

The previous prime is 7389484992259. The next prime is 7389484992289. The reversal of 7389484992288 is 8822994849837.

7389484992288 is a `hidden beast` number, since 7 + 3 + 8 + 9 + 48 + 499 + 2 + 2 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7389484992289) 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, 98671978 + ... + 98746838.

It is an arithmetic number, because the mean of its divisors is an integer number (67600386000).

Almost surely, 2^{7389484992288} 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 7389484992288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979274112000).

7389484992288 is an abundant number, since it is smaller than the sum of its proper divisors (18569063231712).

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

7389484992288 is a wasteful number, since it uses less digits than its factorization.

7389484992288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75765 (or 75751 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 81.

It can be divided in two parts, 738948 and 4992288, that added together give a square (5731236 = 2394²).

The spelling of 7389484992288 in words is "seven trillion, three hundred eighty-nine billion, four hundred eighty-four million, nine hundred ninety-two thousand, two hundred eighty-eight".