11363647680 has 1792 divisors, whose sum is σ = 56180736000. Its totient is φ = 2090188800.

The previous prime is 11363647571. The next prime is 11363647783. The reversal of 11363647680 is 8674636311.

11363647680 is a `hidden beast` number, since 1 + 1 + 3 + 636 + 4 + 7 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 366569265 + ... + 366569295.

Almost surely, 2^11363647680 is an apocalyptic number.

11363647680 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 11363647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28090368000).

11363647680 is an abundant number, since it is smaller than the sum of its proper divisors (44817088320).

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

11363647680 is a wasteful number, since it uses less digits than its factorization.

11363647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 11363647680 in words is "eleven billion, three hundred sixty-three million, six hundred forty-seven thousand, six hundred eighty".