11677962240 has 624 divisors, whose sum is σ = 48406844160. Its totient is φ = 2663055360.

The previous prime is 11677962223. The next prime is 11677962299. The reversal of 11677962240 is 4226977611.

11677962240 is a `hidden beast` number, since 1 + 16 + 7 + 7 + 9 + 622 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094825 + ... + 27095255.

Almost surely, 2^11677962240 is an apocalyptic number.

11677962240 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 11677962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203422080).

11677962240 is an abundant number, since it is smaller than the sum of its proper divisors (36728881920).

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

11677962240 is an equidigital number, since it uses as much as digits as its factorization.

11677962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11677962240 in words is "eleven billion, six hundred seventy-seven million, nine hundred sixty-two thousand, two hundred forty".