4755405600 has 432 divisors, whose sum is σ = 18511627680. Its totient is φ = 1139097600.

The previous prime is 4755405593. The next prime is 4755405619. The reversal of 4755405600 is 65045574.

It is a happy number.

4755405600 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 40 + 5 + 600 = 666.

It is a super-5 number, since 5×4755405600⁵ (a number of 50 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7682091 + ... + 7682709.

It is an arithmetic number, because the mean of its divisors is an integer number (42850990).

Almost surely, 2^4755405600 is an apocalyptic number.

4755405600 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 4755405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255813840).

4755405600 is an abundant number, since it is smaller than the sum of its proper divisors (13756222080).

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

4755405600 is a wasteful number, since it uses less digits than its factorization.

4755405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 4755405600 is about 68959.4489537148. The cubic root of 4755405600 is about 1681.6251281249.

The spelling of 4755405600 in words is "four billion, seven hundred fifty-five million, four hundred five thousand, six hundred".