14755424640 has 384 divisors, whose sum is σ = 53090069760. Its totient is φ = 3456921600.

The previous prime is 14755424639. The next prime is 14755424641. The reversal of 14755424640 is 4642455741.

It is an interprime number because it is at equal distance from previous prime (14755424639) and next prime (14755424641).

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

It is a junction number, because it is equal to n+sod(n) for n = 14755424592 and 14755424601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14755424641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20295957 + ... + 20296683.

It is an arithmetic number, because the mean of its divisors is an integer number (138255390).

Almost surely, 2^14755424640 is an apocalyptic number.

14755424640 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 14755424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26545034880).

14755424640 is an abundant number, since it is smaller than the sum of its proper divisors (38334645120).

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

14755424640 is a wasteful number, since it uses less digits than its factorization.

14755424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 14755424640 in words is "fourteen billion, seven hundred fifty-five million, four hundred twenty-four thousand, six hundred forty".