8267472000 has 192 divisors, whose sum is σ = 29691075960. Its totient is φ = 2204620800.

The previous prime is 8267471941. The next prime is 8267472001. The reversal of 8267472000 is 2747628.

It can be written as a sum of positive squares in 4 ways, for example, as 872847936 + 7394624064 = 29544^2 + 85992^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (8267472001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115294 + ... + 172706.

Almost surely, 2^8267472000 is an apocalyptic number.

8267472000 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 8267472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845537980).

8267472000 is an abundant number, since it is smaller than the sum of its proper divisors (21423603960).

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

8267472000 is a wasteful number, since it uses less digits than its factorization.

8267472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57448 (or 57423 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 8267472000 is about 90925.6399482566. The cubic root of 8267472000 is about 2022.0454397828.

The spelling of 8267472000 in words is "eight billion, two hundred sixty-seven million, four hundred seventy-two thousand".