14367991680 has 768 divisors, whose sum is σ = 60279552000. Its totient is φ = 3224309760.

The previous prime is 14367991607. The next prime is 14367991717. The reversal of 14367991680 is 8619976341.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 60117001 + ... + 60117239.

It is an arithmetic number, because the mean of its divisors is an integer number (78489000).

Almost surely, 2^14367991680 is an apocalyptic number.

14367991680 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 14367991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30139776000).

14367991680 is an abundant number, since it is smaller than the sum of its proper divisors (45911560320).

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

14367991680 is a wasteful number, since it uses less digits than its factorization.

14367991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 14367991680 in words is "fourteen billion, three hundred sixty-seven million, nine hundred ninety-one thousand, six hundred eighty".