8347945996800 has 360 divisors, whose sum is σ = 30075559499700. Its totient is φ = 2211173990400.

The previous prime is 8347945996787. The next prime is 8347945996811. The reversal of 8347945996800 is 86995497438.

8347945996800 is a `hidden beast` number, since 8 + 3 + 4 + 7 + 9 + 459 + 96 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2223152568576 + 6124793428224 = 1491024^2 + 2474832^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×8347945996800² (a number of 27 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 16921630 + ... + 17407970.

Almost surely, 2^{8347945996800} is an apocalyptic number.

8347945996800 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 8347945996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037779749850).

8347945996800 is an abundant number, since it is smaller than the sum of its proper divisors (21727613502900).

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

8347945996800 is a wasteful number, since it uses less digits than its factorization.

8347945996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486524 (or 486500 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 8347945996800 in words is "eight trillion, three hundred forty-seven billion, nine hundred forty-five million, nine hundred ninety-six thousand, eight hundred".