8007133680800 has 144 divisors (see below), whose sum is σ = 20502870232320. Its totient is φ = 3049985295360.

The previous prime is 8007133680779. The next prime is 8007133680817. The reversal of 8007133680800 is 80863317008.

It is a super-2 number, since 2×8007133680800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486580 + ... + 4268979.

It is an arithmetic number, because the mean of its divisors is an integer number (142381043280).

Almost surely, 2^{8007133680800} is an apocalyptic number.

8007133680800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8007133680800 is an abundant number, since it is smaller than the sum of its proper divisors (12495736551520).

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

8007133680800 is a wasteful number, since it uses less digits than its factorization.

8007133680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755663 (or 5755650 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

Adding to 8007133680800 its reverse (80863317008), we get a palindrome (8087996997808).

The spelling of 8007133680800 in words is "eight trillion, seven billion, one hundred thirty-three million, six hundred eighty thousand, eight hundred".