7483864752 has 800 divisors, whose sum is σ = 29038141440. Its totient is φ = 1806520320.

The previous prime is 7483864741. The next prime is 7483864777. The reversal of 7483864752 is 2574683847.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9031680) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84088324 + ... + 84088412.

Almost surely, 2^7483864752 is an apocalyptic number.

7483864752 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 7483864752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519070720).

7483864752 is an abundant number, since it is smaller than the sum of its proper divisors (21554276688).

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

7483864752 is a wasteful number, since it uses less digits than its factorization.

7483864752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 7483864752 is about 86509.3333230583. Note that the first 4 decimals coincide. The cubic root of 7483864752 is about 1956.0290936242.

The spelling of 7483864752 in words is "seven billion, four hundred eighty-three million, eight hundred sixty-four thousand, seven hundred fifty-two".