7384752648 has 384 divisors, whose sum is σ = 26160825600. Its totient is φ = 1827422208.

The previous prime is 7384752527. The next prime is 7384752649. The reversal of 7384752648 is 8462574837.

7384752648 is a `hidden beast` number, since 7 + 38 + 47 + 526 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7384752594 and 7384752603.

It is not an unprimeable number, because it can be changed into a prime (7384752649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17054640 + ... + 17055072.

It is an arithmetic number, because the mean of its divisors is an integer number (68127150).

Almost surely, 2^7384752648 is an apocalyptic number.

7384752648 is a gapful number since it is divisible by the number (78) 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 7384752648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080412800).

7384752648 is an abundant number, since it is smaller than the sum of its proper divisors (18776072952).

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

7384752648 is a wasteful number, since it uses less digits than its factorization.

7384752648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 614 counting only the distinct ones).

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

The square root of 7384752648 is about 85934.5835388757. The cubic root of 7384752648 is about 1947.3558418399.

The spelling of 7384752648 in words is "seven billion, three hundred eighty-four million, seven hundred fifty-two thousand, six hundred forty-eight".