4754688000 has 384 divisors, whose sum is σ = 16312907520. Its totient is φ = 1228800000.

The previous prime is 4754687989. The next prime is 4754688017. The reversal of 4754688000 is 8864574.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31487925 + ... + 31488075.

It is an arithmetic number, because the mean of its divisors is an integer number (42481530).

Almost surely, 2^4754688000 is an apocalyptic number.

4754688000 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 4754688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156453760).

4754688000 is an abundant number, since it is smaller than the sum of its proper divisors (11558219520).

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

4754688000 is a wasteful number, since it uses less digits than its factorization.

4754688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 4754688000 is about 68954.2456995942. The cubic root of 4754688000 is about 1681.5405370302.

The spelling of 4754688000 in words is "four billion, seven hundred fifty-four million, six hundred eighty-eight thousand".