7449502368 has 768 divisors, whose sum is σ = 27869184000. Its totient is φ = 1683763200.

The previous prime is 7449502343. The next prime is 7449502369. The reversal of 7449502368 is 8632059447.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7449502369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126262723 + ... + 126262781.

It is an arithmetic number, because the mean of its divisors is an integer number (36288000).

Almost surely, 2^7449502368 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 7449502368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592000).

7449502368 is an abundant number, since it is smaller than the sum of its proper divisors (20419681632).

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

7449502368 is a wasteful number, since it uses less digits than its factorization.

7449502368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 7449502368 is about 86310.4997552441. The cubic root of 7449502368 is about 1953.0307783737.

The spelling of 7449502368 in words is "seven billion, four hundred forty-nine million, five hundred two thousand, three hundred sixty-eight".