11730307680 has 768 divisors, whose sum is σ = 51575408640. Its totient is φ = 2423955456.

The previous prime is 11730307657. The next prime is 11730307681. The reversal of 11730307680 is 8670303711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730307681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20835079 + ... + 20835641.

It is an arithmetic number, because the mean of its divisors is an integer number (67155480).

Almost surely, 2^11730307680 is an apocalyptic number.

11730307680 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 11730307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25787704320).

11730307680 is an abundant number, since it is smaller than the sum of its proper divisors (39845100960).

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

11730307680 is a wasteful number, since it uses less digits than its factorization.

11730307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11730307680 in words is "eleven billion, seven hundred thirty million, three hundred seven thousand, six hundred eighty".