4750416000 has 384 divisors, whose sum is σ = 18617040000. Its totient is φ = 1151232000.

The previous prime is 4750415993. The next prime is 4750416049. The reversal of 4750416000 is 6140574.

4750416000 is a `hidden beast` number, since 4 + 7 + 50 + 4 + 1 + 600 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1582501 + ... + 1585499.

It is an arithmetic number, because the mean of its divisors is an integer number (48481875).

Almost surely, 2^4750416000 is an apocalyptic number.

4750416000 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 4750416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308520000).

4750416000 is an abundant number, since it is smaller than the sum of its proper divisors (13866624000).

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

4750416000 is a wasteful number, since it uses less digits than its factorization.

4750416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4750416000 is about 68923.2616755766. The cubic root of 4750416000 is about 1681.0367750115.

Adding to 4750416000 its reverse (6140574), we get a palindrome (4756556574).

It can be divided in two parts, 47504 and 16000, that added together give a square (63504 = 252²).

The spelling of 4750416000 in words is "four billion, seven hundred fifty million, four hundred sixteen thousand".