8645472000 has 432 divisors, whose sum is σ = 33949450080. Its totient is φ = 2095104000.

The previous prime is 8645471959. The next prime is 8645472049. The reversal of 8645472000 is 2745468.

8645472000 is a `hidden beast` number, since 8 + 645 + 4 + 7 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×8645472000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3166636 + ... + 3169364.

It is an arithmetic number, because the mean of its divisors is an integer number (78586690).

Almost surely, 2^8645472000 is an apocalyptic number.

8645472000 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 8645472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974725040).

8645472000 is an abundant number, since it is smaller than the sum of its proper divisors (25303978080).

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

8645472000 is a wasteful number, since it uses less digits than its factorization.

8645472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8645472000 is about 92981.0303233945. The cubic root of 8645472000 is about 2052.4042384986.

The spelling of 8645472000 in words is "eight billion, six hundred forty-five million, four hundred seventy-two thousand".