7629272960 has 128 divisors (see below), whose sum is σ = 19087349760. Its totient is φ = 2910504960.

The previous prime is 7629272951. The next prime is 7629272993. The reversal of 7629272960 is 692729267.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 7629272899 and 7629272908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7698065 + ... + 7699055.

It is an arithmetic number, because the mean of its divisors is an integer number (149119920).

Almost surely, 2^7629272960 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 7629272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9543674880).

7629272960 is an abundant number, since it is smaller than the sum of its proper divisors (11458076800).

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

7629272960 is a wasteful number, since it uses less digits than its factorization.

7629272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 7629272960 is about 87345.7094538707. The cubic root of 7629272960 is about 1968.6161839878.

The spelling of 7629272960 in words is "seven billion, six hundred twenty-nine million, two hundred seventy-two thousand, nine hundred sixty".