8813755440 has 480 divisors, whose sum is σ = 34993296000. Its totient is φ = 1986969600.

The previous prime is 8813755439. The next prime is 8813755453. The reversal of 8813755440 is 445573188.

8813755440 is a `hidden beast` number, since 88 + 13 + 7 + 554 + 4 + 0 = 666.

It is a super-2 number, since 2×8813755440² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 21979240 + ... + 21979640.

It is an arithmetic number, because the mean of its divisors is an integer number (72902700).

Almost surely, 2^8813755440 is an apocalyptic number.

8813755440 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 8813755440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496648000).

8813755440 is an abundant number, since it is smaller than the sum of its proper divisors (26179540560).

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

8813755440 is a wasteful number, since it uses less digits than its factorization.

8813755440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8813755440 is about 93881.6033097007. The cubic root of 8813755440 is about 2065.6353881194.

The spelling of 8813755440 in words is "eight billion, eight hundred thirteen million, seven hundred fifty-five thousand, four hundred forty".