7729647048 has 128 divisors (see below), whose sum is σ = 21845865600. Its totient is φ = 2531865600.

The previous prime is 7729647017. The next prime is 7729647049. The reversal of 7729647048 is 8407469277.

It is a super-2 number, since 2×7729647048² (a number of 21 digits) contains 22 as substring.

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 = 7729646985 and 7729647003.

It is not an unprimeable number, because it can be changed into a prime (7729647049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5218468 + ... + 5219948.

It is an arithmetic number, because the mean of its divisors is an integer number (170670825).

Almost surely, 2^7729647048 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 7729647048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922932800).

7729647048 is an abundant number, since it is smaller than the sum of its proper divisors (14116218552).

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

7729647048 is a wasteful number, since it uses less digits than its factorization.

7729647048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7729647048 is about 87918.4113141269. The cubic root of 7729647048 is about 1977.2119253062.

The spelling of 7729647048 in words is "seven billion, seven hundred twenty-nine million, six hundred forty-seven thousand, forty-eight".