13475629440 has 768 divisors, whose sum is σ = 58596894720. Its totient is φ = 2777628672.

The previous prime is 13475629397. The next prime is 13475629471. The reversal of 13475629440 is 4492657431.

13475629440 is a `hidden beast` number, since 1 + 3 + 47 + 562 + 9 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24635247 + ... + 24635793.

It is an arithmetic number, because the mean of its divisors is an integer number (76298040).

Almost surely, 2^13475629440 is an apocalyptic number.

13475629440 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 13475629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29298447360).

13475629440 is an abundant number, since it is smaller than the sum of its proper divisors (45121265280).

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

13475629440 is a wasteful number, since it uses less digits than its factorization.

13475629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13475629440 in words is "thirteen billion, four hundred seventy-five million, six hundred twenty-nine thousand, four hundred forty".