14764072960 has 448 divisors, whose sum is σ = 46371491712. Its totient is φ = 4378853376.

The previous prime is 14764072931. The next prime is 14764072993. The reversal of 14764072960 is 6927046741.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 14764072960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63365004 + ... + 63365236.

It is an arithmetic number, because the mean of its divisors is an integer number (103507794).

Almost surely, 2^14764072960 is an apocalyptic number.

14764072960 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 14764072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23185745856).

14764072960 is an abundant number, since it is smaller than the sum of its proper divisors (31607418752).

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

14764072960 is a wasteful number, since it uses less digits than its factorization.

14764072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 14764072960 in words is "fourteen billion, seven hundred sixty-four million, seventy-two thousand, nine hundred sixty".