7749747360 has 384 divisors, whose sum is σ = 28740096000. Its totient is φ = 1944953856.

The previous prime is 7749747311. The next prime is 7749747367. The reversal of 7749747360 is 637479477.

7749747360 is a `hidden beast` number, since 77 + 49 + 7 + 473 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7749747297 and 7749747306.

It is not an unprimeable number, because it can be changed into a prime (7749747367) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21586861 + ... + 21587219.

It is an arithmetic number, because the mean of its divisors is an integer number (74844000).

Almost surely, 2^7749747360 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 7749747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048000).

7749747360 is an abundant number, since it is smaller than the sum of its proper divisors (20990348640).

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

7749747360 is a wasteful number, since it uses less digits than its factorization.

7749747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The square root of 7749747360 is about 88032.6493978229. The cubic root of 7749747360 is about 1978.9243009133.

The spelling of 7749747360 in words is "seven billion, seven hundred forty-nine million, seven hundred forty-seven thousand, three hundred sixty".