7113749760 has 216 divisors, whose sum is σ = 26506686024. Its totient is φ = 1751040000.

The previous prime is 7113749749. The next prime is 7113749761. The reversal of 7113749760 is 679473117.

It is a happy number.

7113749760 is a `hidden beast` number, since 71 + 1 + 37 + 497 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210134016 + 6903615744 = 14496^2 + 83088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7113749761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126010 + ... + 173510.

It is an arithmetic number, because the mean of its divisors is an integer number (122716139).

Almost surely, 2^7113749760 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 7113749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253343012).

7113749760 is an abundant number, since it is smaller than the sum of its proper divisors (19392936264).

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

7113749760 is a wasteful number, since it uses less digits than its factorization.

7113749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47541 (or 47524 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 7113749760 is about 84343.0480834076. The cubic root of 7113749760 is about 1923.2372470529.

The spelling of 7113749760 in words is "seven billion, one hundred thirteen million, seven hundred forty-nine thousand, seven hundred sixty".