7011113760 has 672 divisors, whose sum is σ = 29403343872. Its totient is φ = 1545246720.

The previous prime is 7011113749. The next prime is 7011113777. The reversal of 7011113760 is 673111107.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7011113760² = 98311432311322675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25310742 + ... + 25311018.

It is an arithmetic number, because the mean of its divisors is an integer number (43754976).

Almost surely, 2^7011113760 is an apocalyptic number.

7011113760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7011113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701671936).

7011113760 is an abundant number, since it is smaller than the sum of its proper divisors (22392230112).

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

7011113760 is a wasteful number, since it uses less digits than its factorization.

7011113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 7011113760 is about 83732.3937314586. The cubic root of 7011113760 is about 1913.9430216625.

Adding to 7011113760 its reverse (673111107), we get a palindrome (7684224867).

The spelling of 7011113760 in words is "seven billion, eleven million, one hundred thirteen thousand, seven hundred sixty".