4745476800 has 168 divisors, whose sum is σ = 17299178000. Its totient is φ = 1265448960.

The previous prime is 4745476789. The next prime is 4745476811. The reversal of 4745476800 is 86745474.

4745476800 is a `hidden beast` number, since 47 + 4 + 547 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4745476789) and next prime (4745476811).

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 23 ways as a sum of consecutive naturals, for example, 11725 + ... + 98124.

Almost surely, 2^4745476800 is an apocalyptic number.

4745476800 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 4745476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649589000).

4745476800 is an abundant number, since it is smaller than the sum of its proper divisors (12553701200).

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

4745476800 is a wasteful number, since it uses less digits than its factorization.

4745476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109880 (or 109859 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4745476800 is about 68887.4212030034. The cubic root of 4745476800 is about 1680.4539589557.

The spelling of 4745476800 in words is "four billion, seven hundred forty-five million, four hundred seventy-six thousand, eight hundred".