11613746760 has 512 divisors, whose sum is σ = 44914176000. Its totient is φ = 2381352960.

The previous prime is 11613746743. The next prime is 11613746777. The reversal of 11613746760 is 6764731611.

11613746760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11613746743) and next prime (11613746777).

It is a super-2 number, since 2×11613746760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51161767 + ... + 51161993.

It is an arithmetic number, because the mean of its divisors is an integer number (87723000).

Almost surely, 2^11613746760 is an apocalyptic number.

11613746760 is a gapful number since it is divisible by the number (10) 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 11613746760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22457088000).

11613746760 is an abundant number, since it is smaller than the sum of its proper divisors (33300429240).

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

11613746760 is a wasteful number, since it uses less digits than its factorization.

11613746760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 11613746760 in words is "eleven billion, six hundred thirteen million, seven hundred forty-six thousand, seven hundred sixty".