11767242240 has 480 divisors, whose sum is σ = 46489899456. Its totient is φ = 2724986880.

The previous prime is 11767242209. The next prime is 11767242247. The reversal of 11767242240 is 4224276711.

11767242240 is a `hidden beast` number, since 1 + 176 + 7 + 242 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11767242195 and 11767242204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11767242247) 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, 5090685 + ... + 5092995.

Almost surely, 2^11767242240 is an apocalyptic number.

11767242240 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 11767242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23244949728).

11767242240 is an abundant number, since it is smaller than the sum of its proper divisors (34722657216).

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

11767242240 is a wasteful number, since it uses less digits than its factorization.

11767242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 11767242240 in words is "eleven billion, seven hundred sixty-seven million, two hundred forty-two thousand, two hundred forty".