13532345640 has 384 divisors, whose sum is σ = 49037788800. Its totient is φ = 3209103360.

The previous prime is 13532345621. The next prime is 13532345641. The reversal of 13532345640 is 4654323531.

13532345640 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 2 + 3 + 4 + 5 + 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 = 13532345595 and 13532345604.

It is not an unprimeable number, because it can be changed into a prime (13532345641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46185334 + ... + 46185626.

It is an arithmetic number, because the mean of its divisors is an integer number (127702575).

Almost surely, 2^13532345640 is an apocalyptic number.

13532345640 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 13532345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24518894400).

13532345640 is an abundant number, since it is smaller than the sum of its proper divisors (35505443160).

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

13532345640 is a wasteful number, since it uses less digits than its factorization.

13532345640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 13532345640 in words is "thirteen billion, five hundred thirty-two million, three hundred forty-five thousand, six hundred forty".