13795504632 has 192 divisors, whose sum is σ = 47688775680. Its totient is φ = 3638328192.

The previous prime is 13795504631. The next prime is 13795504637. The reversal of 13795504632 is 23640559731.

13795504632 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 5 + 5 + 0 + 4 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13795504631) 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, 137913 + ... + 215895.

It is an arithmetic number, because the mean of its divisors is an integer number (248379040).

Almost surely, 2^13795504632 is an apocalyptic number.

13795504632 is a gapful number since it is divisible by the number (12) 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 13795504632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844387840).

13795504632 is an abundant number, since it is smaller than the sum of its proper divisors (33893271048).

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

13795504632 is a wasteful number, since it uses less digits than its factorization.

13795504632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78024 (or 78008 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13795504632 in words is "thirteen billion, seven hundred ninety-five million, five hundred four thousand, six hundred thirty-two".