8249934672 has 320 divisors, whose sum is σ = 28720384000. Its totient is φ = 2214853632.

The previous prime is 8249934617. The next prime is 8249934689. The reversal of 8249934672 is 2764399428.

8249934672 is a `hidden beast` number, since 82 + 499 + 3 + 4 + 6 + 72 = 666.

It is a super-2 number, since 2×8249934672² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7985868 + ... + 7986900.

It is an arithmetic number, because the mean of its divisors is an integer number (89751200).

Almost surely, 2^8249934672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8249934672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360192000).

8249934672 is an abundant number, since it is smaller than the sum of its proper divisors (20470449328).

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

8249934672 is a wasteful number, since it uses less digits than its factorization.

8249934672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 8249934672 is about 90829.1510034086. The cubic root of 8249934672 is about 2020.6146768399.

The spelling of 8249934672 in words is "eight billion, two hundred forty-nine million, nine hundred thirty-four thousand, six hundred seventy-two".