14768006400 has 864 divisors, whose sum is σ = 64175059200. Its totient is φ = 3251404800.

The previous prime is 14768006399. The next prime is 14768006411. The reversal of 14768006400 is 460086741.

14768006400 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 8 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 35078190 + ... + 35078610.

Almost surely, 2^14768006400 is an apocalyptic number.

14768006400 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 14768006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32087529600).

14768006400 is an abundant number, since it is smaller than the sum of its proper divisors (49407052800).

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

14768006400 is a wasteful number, since it uses less digits than its factorization.

14768006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14768006400 in words is "fourteen billion, seven hundred sixty-eight million, six thousand, four hundred".