11764279296 has 576 divisors, whose sum is σ = 44073469440. Its totient is φ = 3045703680.

The previous prime is 11764279279. The next prime is 11764279309. The reversal of 11764279296 is 69297246711.

11764279296 is a `hidden beast` number, since 11 + 76 + 4 + 279 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38319975 + ... + 38320281.

It is an arithmetic number, because the mean of its divisors is an integer number (76516440).

Almost surely, 2^11764279296 is an apocalyptic number.

11764279296 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 11764279296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22036734720).

11764279296 is an abundant number, since it is smaller than the sum of its proper divisors (32309190144).

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

11764279296 is an equidigital number, since it uses as much as digits as its factorization.

11764279296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 330 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 11764279296 in words is "eleven billion, seven hundred sixty-four million, two hundred seventy-nine thousand, two hundred ninety-six".