8007668121600 has 1440 divisors, whose sum is σ = 34325136384000. Its totient is φ = 1829457100800.

The previous prime is 8007668121587. The next prime is 8007668121623. The reversal of 8007668121600 is 61218667008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3793304545 + ... + 3793306655.

Almost surely, 2^{8007668121600} is an apocalyptic number.

8007668121600 is a gapful number since it is divisible by the number (80) 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 8007668121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162568192000).

8007668121600 is an abundant number, since it is smaller than the sum of its proper divisors (26317468262400).

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

8007668121600 is an equidigital number, since it uses as much as digits as its factorization.

8007668121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 8007668121600 in words is "eight trillion, seven billion, six hundred sixty-eight million, one hundred twenty-one thousand, six hundred".