11763840816 has 640 divisors, whose sum is σ = 43997184000. Its totient is φ = 2987228160.

The previous prime is 11763840769. The next prime is 11763840817. The reversal of 11763840816 is 61804836711.

11763840816 is a `hidden beast` number, since 1 + 1 + 7 + 638 + 4 + 0 + 8 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11763840817) 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, 59714830 + ... + 59715026.

It is an arithmetic number, because the mean of its divisors is an integer number (68745600).

Almost surely, 2^11763840816 is an apocalyptic number.

11763840816 is a gapful number since it is divisible by the number (16) 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 11763840816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998592000).

11763840816 is an abundant number, since it is smaller than the sum of its proper divisors (32233343184).

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

11763840816 is a wasteful number, since it uses less digits than its factorization.

11763840816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11763840816 in words is "eleven billion, seven hundred sixty-three million, eight hundred forty thousand, eight hundred sixteen".