8449272000 has 1120 divisors, whose sum is σ = 36246450240. Its totient is φ = 1924300800.

The previous prime is 8449271993. The next prime is 8449272131. The reversal of 8449272000 is 2729448.

8449272000 is a `hidden beast` number, since 8 + 449 + 2 + 7 + 200 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143207971 + ... + 143208029.

It is an arithmetic number, because the mean of its divisors is an integer number (32362902).

Almost surely, 2^8449272000 is an apocalyptic number.

8449272000 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 8449272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123225120).

8449272000 is an abundant number, since it is smaller than the sum of its proper divisors (27797178240).

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

8449272000 is a wasteful number, since it uses less digits than its factorization.

8449272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8449272000 is about 91919.9216709849. The cubic root of 8449272000 is about 2036.7595613319.

The spelling of 8449272000 in words is "eight billion, four hundred forty-nine million, two hundred seventy-two thousand".