13626622464 has 480 divisors, whose sum is σ = 47936306880. Its totient is φ = 3400040448.

The previous prime is 13626622463. The next prime is 13626622519. The reversal of 13626622464 is 46422662631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13626622463) 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, 18589842 + ... + 18590574.

It is an arithmetic number, because the mean of its divisors is an integer number (99867306).

Almost surely, 2^13626622464 is an apocalyptic number.

13626622464 is a gapful number since it is divisible by the number (14) 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 13626622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968153440).

13626622464 is an abundant number, since it is smaller than the sum of its proper divisors (34309684416).

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

13626622464 is a wasteful number, since it uses less digits than its factorization.

13626622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 777 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 13626622464 in words is "thirteen billion, six hundred twenty-six million, six hundred twenty-two thousand, four hundred sixty-four".