11678337000 has 768 divisors, whose sum is σ = 47466881280. Its totient is φ = 2654208000.

The previous prime is 11678336977. The next prime is 11678337001. The reversal of 11678337000 is 73387611.

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

It is not an unprimeable number, because it can be changed into a prime (11678337001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45440872 + ... + 45441128.

It is an arithmetic number, because the mean of its divisors is an integer number (61805835).

Almost surely, 2^11678337000 is an apocalyptic number.

11678337000 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 11678337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23733440640).

11678337000 is an abundant number, since it is smaller than the sum of its proper divisors (35788544280).

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

11678337000 is a wasteful number, since it uses less digits than its factorization.

11678337000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11678337000 in words is "eleven billion, six hundred seventy-eight million, three hundred thirty-seven thousand".