13633578672 has 320 divisors, whose sum is σ = 43647206400. Its totient is φ = 3579052032.

The previous prime is 13633578671. The next prime is 13633578697. The reversal of 13633578672 is 27687533631.

It is a happy number.

It is a super-2 number, since 2×13633578672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13633578671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70640208 + ... + 70640400.

It is an arithmetic number, because the mean of its divisors is an integer number (136397520).

Almost surely, 2^13633578672 is an apocalyptic number.

13633578672 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 13633578672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21823603200).

13633578672 is an abundant number, since it is smaller than the sum of its proper divisors (30013627728).

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

13633578672 is a wasteful number, since it uses less digits than its factorization.

13633578672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The spelling of 13633578672 in words is "thirteen billion, six hundred thirty-three million, five hundred seventy-eight thousand, six hundred seventy-two".