14635520640 has 896 divisors, whose sum is σ = 59934873600. Its totient is φ = 3386105856.

The previous prime is 14635520633. The next prime is 14635520657. The reversal of 14635520640 is 4602553641.

14635520640 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 5 + 5 + 2 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14635520595 and 14635520604.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115240257 + ... + 115240383.

It is an arithmetic number, because the mean of its divisors is an integer number (66891600).

Almost surely, 2^14635520640 is an apocalyptic number.

14635520640 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 14635520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29967436800).

14635520640 is an abundant number, since it is smaller than the sum of its proper divisors (45299352960).

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

14635520640 is a wasteful number, since it uses less digits than its factorization.

14635520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 14635520640 in words is "fourteen billion, six hundred thirty-five million, five hundred twenty thousand, six hundred forty".