11772476743680 has 672 divisors, whose sum is σ = 42637850573760. Its totient is φ = 3000788582400.

The previous prime is 11772476743663. The next prime is 11772476743721. The reversal of 11772476743680 is 8634767427711.

It is a happy number.

11772476743680 is a `hidden beast` number, since 1 + 17 + 7 + 2 + 476 + 74 + 3 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079741109 + ... + 1079752011.

Almost surely, 2^{11772476743680} is an apocalyptic number.

11772476743680 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 11772476743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318925286880).

11772476743680 is an abundant number, since it is smaller than the sum of its proper divisors (30865373830080).

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

11772476743680 is a wasteful number, since it uses less digits than its factorization.

11772476743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 11772476743680 in words is "eleven trillion, seven hundred seventy-two billion, four hundred seventy-six million, seven hundred forty-three thousand, six hundred eighty".