7648268160 has 128 divisors (see below), whose sum is σ = 26254236960. Its totient is φ = 1882644480.

The previous prime is 7648268153. The next prime is 7648268161. The reversal of 7648268160 is 618628467.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7648268161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128251 + ... + 178170.

Almost surely, 2^7648268160 is an apocalyptic number.

It is an amenable number.

7648268160 is an abundant number, since it is smaller than the sum of its proper divisors (18605968800).

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

7648268160 is a wasteful number, since it uses less digits than its factorization.

7648268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306456 (or 306444 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 7648268160 is about 87454.3775919765. The cubic root of 7648268160 is about 1970.2486360234.

The spelling of 7648268160 in words is "seven billion, six hundred forty-eight million, two hundred sixty-eight thousand, one hundred sixty".