4745088000 has 352 divisors, whose sum is σ = 17550486720. Its totient is φ = 1264435200.

The previous prime is 4745087951. The next prime is 4745088031. The reversal of 4745088000 is 8805474.

4745088000 is a `hidden beast` number, since 4 + 74 + 508 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455314 + ... + 3456686.

Almost surely, 2^4745088000 is an apocalyptic number.

4745088000 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 4745088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775243360).

4745088000 is an abundant number, since it is smaller than the sum of its proper divisors (12805398720).

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

4745088000 is a wasteful number, since it uses less digits than its factorization.

4745088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4745088000 is about 68884.5991495922. The cubic root of 4745088000 is about 1680.4080641404.

The spelling of 4745088000 in words is "four billion, seven hundred forty-five million, eighty-eight thousand".