11774730240 has 1008 divisors, whose sum is σ = 52382611008. Its totient is φ = 2484338688.

The previous prime is 11774730223. The next prime is 11774730269. The reversal of 11774730240 is 4203747711.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 11774730195 and 11774730204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 905748474 + ... + 905748486.

It is an arithmetic number, because the mean of its divisors is an integer number (51966876).

Almost surely, 2^11774730240 is an apocalyptic number.

11774730240 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 11774730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191305504).

11774730240 is an abundant number, since it is smaller than the sum of its proper divisors (40607880768).

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

11774730240 is an frugal number, since it uses more digits than its factorization.

11774730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 11774730240 in words is "eleven billion, seven hundred seventy-four million, seven hundred thirty thousand, two hundred forty".