8749278720 has 960 divisors, whose sum is σ = 38819658240. Its totient is φ = 1828749312.

The previous prime is 8749278673. The next prime is 8749278721. The reversal of 8749278720 is 278729478.

8749278720 is a `hidden beast` number, since 87 + 492 + 7 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8749278721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81768907 + ... + 81769013.

It is an arithmetic number, because the mean of its divisors is an integer number (40437144).

Almost surely, 2^8749278720 is an apocalyptic number.

8749278720 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 8749278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19409829120).

8749278720 is an abundant number, since it is smaller than the sum of its proper divisors (30070379520).

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

8749278720 is a wasteful number, since it uses less digits than its factorization.

8749278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 8749278720 is about 93537.5791861218. The cubic root of 8749278720 is about 2060.5860273834.

The spelling of 8749278720 in words is "eight billion, seven hundred forty-nine million, two hundred seventy-eight thousand, seven hundred twenty".