14725630080 has 384 divisors, whose sum is σ = 58921499520. Its totient is φ = 3319087104.

The previous prime is 14725629967. The next prime is 14725630103. The reversal of 14725630080 is 8003652741.

14725630080 is a `hidden beast` number, since 14 + 7 + 2 + 5 + 630 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2940859 + ... + 2945861.

It is an arithmetic number, because the mean of its divisors is an integer number (153441405).

Almost surely, 2^14725630080 is an apocalyptic number.

14725630080 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 14725630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29460749760).

14725630080 is an abundant number, since it is smaller than the sum of its proper divisors (44195869440).

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

14725630080 is a wasteful number, since it uses less digits than its factorization.

14725630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14725630080 in words is "fourteen billion, seven hundred twenty-five million, six hundred thirty thousand, eighty".