11704641264 has 240 divisors, whose sum is σ = 35097753600. Its totient is φ = 3774221568.

The previous prime is 11704641257. The next prime is 11704641283. The reversal of 11704641264 is 46214640711.

It is a happy number.

11704641264 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 4 + 641 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16278697 + ... + 16279415.

It is an arithmetic number, because the mean of its divisors is an integer number (146240640).

Almost surely, 2^11704641264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11704641264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

11704641264 is an abundant number, since it is smaller than the sum of its proper divisors (23393112336).

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

11704641264 is an equidigital number, since it uses as much as digits as its factorization.

11704641264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11704641264 in words is "eleven billion, seven hundred four million, six hundred forty-one thousand, two hundred sixty-four".