8748241920 has 528 divisors, whose sum is σ = 34238285760. Its totient is φ = 2116730880.

The previous prime is 8748241913. The next prime is 8748241937. The reversal of 8748241920 is 291428478.

8748241920 = 359² + 360² + ... + 2973².

8748241920 is a `hidden beast` number, since 87 + 482 + 4 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16726779 + ... + 16727301.

Almost surely, 2^8748241920 is an apocalyptic number.

8748241920 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 8748241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17119142880).

8748241920 is an abundant number, since it is smaller than the sum of its proper divisors (25490043840).

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

8748241920 is a wasteful number, since it uses less digits than its factorization.

8748241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8748241920 is about 93532.0368643814. The cubic root of 8748241920 is about 2060.5046301980.

The spelling of 8748241920 in words is "eight billion, seven hundred forty-eight million, two hundred forty-one thousand, nine hundred twenty".