11639946240 has 880 divisors, whose sum is σ = 47936351232. Its totient is φ = 2675441664.

The previous prime is 11639946221. The next prime is 11639946271. The reversal of 11639946240 is 4264993611.

11639946240 is a `hidden beast` number, since 1 + 1 + 63 + 99 + 462 + 40 = 666.

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 79 ways as a sum of consecutive naturals, for example, 91653057 + ... + 91653183.

Almost surely, 2^11639946240 is an apocalyptic number.

11639946240 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 11639946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968175616).

11639946240 is an abundant number, since it is smaller than the sum of its proper divisors (36296404992).

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

11639946240 is a wasteful number, since it uses less digits than its factorization.

11639946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 11639946240 in words is "eleven billion, six hundred thirty-nine million, nine hundred forty-six thousand, two hundred forty".