8249472000 has 1408 divisors, whose sum is σ = 39239516160. Its totient is φ = 1658880000.

The previous prime is 8249471999. The next prime is 8249472029. The reversal of 8249472000 is 2749428.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 266111985 + ... + 266112015.

Almost surely, 2^8249472000 is an apocalyptic number.

8249472000 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 8249472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19619758080).

8249472000 is an abundant number, since it is smaller than the sum of its proper divisors (30990044160).

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

8249472000 is a wasteful number, since it uses less digits than its factorization.

8249472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

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

The square root of 8249472000 is about 90826.6040320786. The cubic root of 8249472000 is about 2020.5769028312.

It can be divided in two parts, 8249 and 472000, that added together give a square (480249 = 693²).

The spelling of 8249472000 in words is "eight billion, two hundred forty-nine million, four hundred seventy-two thousand".