7648973120 has 112 divisors (see below), whose sum is σ = 18767273616. Its totient is φ = 2967552000.

The previous prime is 7648973119. The next prime is 7648973141. The reversal of 7648973120 is 213798467.

It can be written as a sum of positive squares in 8 ways, for example, as 2087393344 + 5561579776 = 45688^2 + 74576^2 .

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, 2373110 + ... + 2376330.

It is an arithmetic number, because the mean of its divisors is an integer number (167564943).

Almost surely, 2^7648973120 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 7648973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383636808).

7648973120 is an abundant number, since it is smaller than the sum of its proper divisors (11118300496).

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

7648973120 is a wasteful number, since it uses less digits than its factorization.

7648973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 7648973120 is about 87458.4079434333. The cubic root of 7648973120 is about 1970.3091684113.

The spelling of 7648973120 in words is "seven billion, six hundred forty-eight million, nine hundred seventy-three thousand, one hundred twenty".