11873690640 has 320 divisors, whose sum is σ = 46856286720. Its totient is φ = 2707292160.

The previous prime is 11873690627. The next prime is 11873690657. The reversal of 11873690640 is 4609637811.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8723560 + ... + 8724920.

It is an arithmetic number, because the mean of its divisors is an integer number (146425896).

Almost surely, 2^11873690640 is an apocalyptic number.

11873690640 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 11873690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23428143360).

11873690640 is an abundant number, since it is smaller than the sum of its proper divisors (34982596080).

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

11873690640 is a wasteful number, since it uses less digits than its factorization.

11873690640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11873690640 in words is "eleven billion, eight hundred seventy-three million, six hundred ninety thousand, six hundred forty".