7481948760 has 768 divisors, whose sum is σ = 30569011200. Its totient is φ = 1561190400.

The previous prime is 7481948723. The next prime is 7481948791. The reversal of 7481948760 is 678491847.

It is a happy number.

7481948760 is a `hidden beast` number, since 7 + 481 + 94 + 8 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7481948697 and 7481948706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84066796 + ... + 84066884.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^7481948760 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 7481948760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284505600).

7481948760 is an abundant number, since it is smaller than the sum of its proper divisors (23087062440).

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

7481948760 is a wasteful number, since it uses less digits than its factorization.

7481948760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 7481948760 is about 86498.2587107972. The cubic root of 7481948760 is about 1955.8621542112.

The spelling of 7481948760 in words is "seven billion, four hundred eighty-one million, nine hundred forty-eight thousand, seven hundred sixty".