14742773760 has 448 divisors, whose sum is σ = 55487255040. Its totient is φ = 3295150080.

The previous prime is 14742773753. The next prime is 14742773777. The reversal of 14742773760 is 6737724741.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 17571421 + ... + 17572259.

It is an arithmetic number, because the mean of its divisors is an integer number (123855480).

Almost surely, 2^14742773760 is an apocalyptic number.

14742773760 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 14742773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27743627520).

14742773760 is an abundant number, since it is smaller than the sum of its proper divisors (40744481280).

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

14742773760 is a wasteful number, since it uses less digits than its factorization.

14742773760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

The spelling of 14742773760 in words is "fourteen billion, seven hundred forty-two million, seven hundred seventy-three thousand, seven hundred sixty".