8447846400 has 864 divisors, whose sum is σ = 36227056320. Its totient is φ = 1911029760.

The previous prime is 8447846399. The next prime is 8447846419. The reversal of 8447846400 is 46487448.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×8447846400² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 87091152 + ... + 87091248.

Almost surely, 2^8447846400 is an apocalyptic number.

8447846400 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 8447846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113528160).

8447846400 is an abundant number, since it is smaller than the sum of its proper divisors (27779209920).

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

8447846400 is an equidigital number, since it uses as much as digits as its factorization.

8447846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 8447846400 is about 91912.1667680618. The cubic root of 8447846400 is about 2036.6450044111.

The spelling of 8447846400 in words is "eight billion, four hundred forty-seven million, eight hundred forty-six thousand, four hundred".