8768148480 has 1408 divisors, whose sum is σ = 41597660160. Its totient is φ = 1698693120.

The previous prime is 8768148457. The next prime is 8768148541. The reversal of 8768148480 is 848418678.

8768148480 is a `hidden beast` number, since 8 + 7 + 6 + 81 + 484 + 80 = 666.

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

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, 213857260 + ... + 213857300.

Almost surely, 2^8768148480 is an apocalyptic number.

8768148480 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 8768148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798830080).

8768148480 is an abundant number, since it is smaller than the sum of its proper divisors (32829511680).

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

8768148480 is a wasteful number, since it uses less digits than its factorization.

8768148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 8768148480 is about 93638.3921263068. The cubic root of 8768148480 is about 2062.0663339467.

It can be divided in two parts, 87681 and 48480, that added together give a square (136161 = 369²).

The spelling of 8768148480 in words is "eight billion, seven hundred sixty-eight million, one hundred forty-eight thousand, four hundred eighty".