14378630760 has 768 divisors, whose sum is σ = 56467756800. Its totient is φ = 3260694528.

The previous prime is 14378630731. The next prime is 14378630837. The reversal of 14378630760 is 6703687341.

14378630760 is a `hidden beast` number, since 1 + 4 + 3 + 7 + 8 + 630 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127244464 + ... + 127244576.

It is an arithmetic number, because the mean of its divisors is an integer number (73525725).

Almost surely, 2^14378630760 is an apocalyptic number.

14378630760 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 14378630760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28233878400).

14378630760 is an abundant number, since it is smaller than the sum of its proper divisors (42089126040).

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

14378630760 is a wasteful number, since it uses less digits than its factorization.

14378630760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 14378630760 in words is "fourteen billion, three hundred seventy-eight million, six hundred thirty thousand, seven hundred sixty".