11964637440 has 864 divisors, whose sum is σ = 51585327360. Its totient is φ = 2571927552.

The previous prime is 11964637409. The next prime is 11964637483. The reversal of 11964637440 is 4473646911.

11964637440 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 4 + 637 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87333052 + ... + 87333188.

It is an arithmetic number, because the mean of its divisors is an integer number (59705240).

Almost surely, 2^11964637440 is an apocalyptic number.

11964637440 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 11964637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25792663680).

11964637440 is an abundant number, since it is smaller than the sum of its proper divisors (39620689920).

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

11964637440 is a wasteful number, since it uses less digits than its factorization.

11964637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 11964637440 in words is "eleven billion, nine hundred sixty-four million, six hundred thirty-seven thousand, four hundred forty".