8645246400 has 672 divisors, whose sum is σ = 34015680000. Its totient is φ = 1920737280.

The previous prime is 8645246377. The next prime is 8645246437. The reversal of 8645246400 is 46425468.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×8645246400⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

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, 97137556 + ... + 97137644.

Almost surely, 2^8645246400 is an apocalyptic number.

8645246400 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 8645246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007840000).

8645246400 is an abundant number, since it is smaller than the sum of its proper divisors (25370433600).

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

8645246400 is a wasteful number, since it uses less digits than its factorization.

8645246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 8645246400 is about 92979.8171648020. The cubic root of 8645246400 is about 2052.3863861314.

The spelling of 8645246400 in words is "eight billion, six hundred forty-five million, two hundred forty-six thousand, four hundred".