11983364640 has 768 divisors, whose sum is σ = 47619532800. Its totient is φ = 2794881024.

The previous prime is 11983364633. The next prime is 11983364641. The reversal of 11983364640 is 4646338911.

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

It is not an unprimeable number, because it can be changed into a prime (11983364641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151688121 + ... + 151688199.

It is an arithmetic number, because the mean of its divisors is an integer number (62004600).

Almost surely, 2^11983364640 is an apocalyptic number.

11983364640 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 11983364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809766400).

11983364640 is an abundant number, since it is smaller than the sum of its proper divisors (35636168160).

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

11983364640 is a wasteful number, since it uses less digits than its factorization.

11983364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 11983364640 in words is "eleven billion, nine hundred eighty-three million, three hundred sixty-four thousand, six hundred forty".