8748078796800 has 1560 divisors, whose sum is σ = 39217168083456. Its totient is φ = 1881727303680.

The previous prime is 8748078796777. The next prime is 8748078796811. The reversal of 8748078796800 is 86978708478.

It is a happy number.

8748078796800 is a `hidden beast` number, since 8 + 7 + 480 + 7 + 87 + 9 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 987029169 + ... + 987038031.

Almost surely, 2^{8748078796800} is an apocalyptic number.

8748078796800 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 8748078796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608584041728).

8748078796800 is an abundant number, since it is smaller than the sum of its proper divisors (30469089286656).

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

8748078796800 is a wasteful number, since it uses less digits than its factorization.

8748078796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 8748078796800 in words is "eight trillion, seven hundred forty-eight billion, seventy-eight million, seven hundred ninety-six thousand, eight hundred".