11668478976 has 924 divisors, whose sum is σ = 45910852920. Its totient is φ = 2926264320.

The previous prime is 11668478971. The next prime is 11668479007. The reversal of 11668478976 is 67987486611.

11668478976 is a `hidden beast` number, since 1 + 16 + 68 + 478 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (924).

It is a super-2 number, since 2×11668478976² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11668478971) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 402361330 + ... + 402361358.

Almost surely, 2^11668478976 is an apocalyptic number.

11668478976 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 11668478976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22955426460).

11668478976 is an abundant number, since it is smaller than the sum of its proper divisors (34242373944).

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

11668478976 is an equidigital number, since it uses as much as digits as its factorization.

11668478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 11668478976 in words is "eleven billion, six hundred sixty-eight million, four hundred seventy-eight thousand, nine hundred seventy-six".