7749338480 has 480 divisors, whose sum is σ = 23023526400. Its totient is φ = 2398961664.

The previous prime is 7749338479. The next prime is 7749338507. The reversal of 7749338480 is 848339477.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 131344691 + ... + 131344749.

It is an arithmetic number, because the mean of its divisors is an integer number (47965680).

Almost surely, 2^7749338480 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 7749338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511763200).

7749338480 is an abundant number, since it is smaller than the sum of its proper divisors (15274187920).

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

7749338480 is a wasteful number, since it uses less digits than its factorization.

7749338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The square root of 7749338480 is about 88030.3270469899. The cubic root of 7749338480 is about 1978.8894973358.

The spelling of 7749338480 in words is "seven billion, seven hundred forty-nine million, three hundred thirty-eight thousand, four hundred eighty".