8247672720 has 560 divisors, whose sum is σ = 33373399680. Its totient is φ = 1855789056.

The previous prime is 8247672707. The next prime is 8247672737. The reversal of 8247672720 is 272767428.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36333247 + ... + 36333473.

Almost surely, 2^8247672720 is an apocalyptic number.

8247672720 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 8247672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686699840).

8247672720 is an abundant number, since it is smaller than the sum of its proper divisors (25125726960).

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

8247672720 is a wasteful number, since it uses less digits than its factorization.

8247672720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 8247672720 is about 90816.6984645445. The cubic root of 8247672720 is about 2020.4299904810.

The spelling of 8247672720 in words is "eight billion, two hundred forty-seven million, six hundred seventy-two thousand, seven hundred twenty".