14638772680 has 256 divisors, whose sum is σ = 40854528000. Its totient is φ = 4609612800.

The previous prime is 14638772653. The next prime is 14638772689. The reversal of 14638772680 is 8627783641.

It is not an unprimeable number, because it can be changed into a prime (14638772689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25636795 + ... + 25637365.

It is an arithmetic number, because the mean of its divisors is an integer number (159588000).

Almost surely, 2^14638772680 is an apocalyptic number.

14638772680 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 14638772680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427264000).

14638772680 is an abundant number, since it is smaller than the sum of its proper divisors (26215755320).

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

14638772680 is a wasteful number, since it uses less digits than its factorization.

14638772680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 14638772680 in words is "fourteen billion, six hundred thirty-eight million, seven hundred seventy-two thousand, six hundred eighty".