11304613760 has 384 divisors, whose sum is σ = 32584446720. Its totient is φ = 3730636800.

The previous prime is 11304613739. The next prime is 11304613799. The reversal of 11304613760 is 6731640311.

It is a super-3 number, since 3×11304613760³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40810742 + ... + 40811018.

It is an arithmetic number, because the mean of its divisors is an integer number (84855330).

Almost surely, 2^11304613760 is an apocalyptic number.

11304613760 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 11304613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292223360).

11304613760 is an abundant number, since it is smaller than the sum of its proper divisors (21279832960).

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

11304613760 is a wasteful number, since it uses less digits than its factorization.

11304613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 11304613760 in words is "eleven billion, three hundred four million, six hundred thirteen thousand, seven hundred sixty".