4755386880 has 800 divisors, whose sum is σ = 19250732160. Its totient is φ = 1114767360.

The previous prime is 4755386869. The next prime is 4755386891. The reversal of 4755386880 is 886835574.

4755386880 is a `hidden beast` number, since 4 + 7 + 553 + 8 + 6 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4755386869) and next prime (4755386891).

It is a super-2 number, since 2×4755386880² = 45227408756952268800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66977245 + ... + 66977315.

Almost surely, 2^4755386880 is an apocalyptic number.

4755386880 is a gapful number since it is divisible by the number (40) 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 4755386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625366080).

4755386880 is an abundant number, since it is smaller than the sum of its proper divisors (14495345280).

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

4755386880 is a wasteful number, since it uses less digits than its factorization.

4755386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 4755386880 is about 68959.3132216382. The cubic root of 4755386880 is about 1681.6229215088.

The spelling of 4755386880 in words is "four billion, seven hundred fifty-five million, three hundred eighty-six thousand, eight hundred eighty".