8007173222400 has 3120 divisors, whose sum is σ = 35394556032000. Its totient is φ = 1767702528000.

The previous prime is 8007173222359. The next prime is 8007173222423. The reversal of 8007173222400 is 42223717008.

8007173222400 is a `hidden beast` number, since 80 + 0 + 7 + 17 + 322 + 240 + 0 = 666.

It is a super-4 number, since 4×8007173222400⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53739417526 + ... + 53739417674.

Almost surely, 2^{8007173222400} is an apocalyptic number.

8007173222400 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 8007173222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697278016000).

8007173222400 is an abundant number, since it is smaller than the sum of its proper divisors (27387382809600).

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

8007173222400 is a wasteful number, since it uses less digits than its factorization.

8007173222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 8007173222400 its reverse (42223717008), we get a palindrome (8049396939408).

The spelling of 8007173222400 in words is "eight trillion, seven billion, one hundred seventy-three million, two hundred twenty-two thousand, four hundred".