11766646080 has 336 divisors, whose sum is σ = 46376563584. Its totient is φ = 2682408960.

The previous prime is 11766646063. The next prime is 11766646081. The reversal of 11766646080 is 8064666711.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11766646081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13325319 + ... + 13326201.

Almost surely, 2^11766646080 is an apocalyptic number.

11766646080 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 11766646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23188281792).

11766646080 is an abundant number, since it is smaller than the sum of its proper divisors (34609917504).

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

11766646080 is a wasteful number, since it uses less digits than its factorization.

11766646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11766646080 in words is "eleven billion, seven hundred sixty-six million, six hundred forty-six thousand, eighty".