4751832960 has 384 divisors, whose sum is σ = 19043481600. Its totient is φ = 1069314048.

The previous prime is 4751832847. The next prime is 4751832973. The reversal of 4751832960 is 692381574.

4751832960 is a `hidden beast` number, since 47 + 518 + 3 + 2 + 96 + 0 = 666.

4751832960 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

4751832960 is strictly pandigital in base 10.

It is a congruent number.

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, 2700561 + ... + 2702319.

It is an arithmetic number, because the mean of its divisors is an integer number (49592400).

It is a 1-persistent number, because it is pandigital, but 2⋅4751832960 = 9503665920 is not.

Almost surely, 2^4751832960 is an apocalyptic number.

4751832960 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 4751832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521740800).

4751832960 is an abundant number, since it is smaller than the sum of its proper divisors (14291648640).

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

4751832960 is a wasteful number, since it uses less digits than its factorization.

4751832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4751832960 is about 68933.5401673235. The cubic root of 4751832960 is about 1681.2038989768.

The spelling of 4751832960 in words is "four billion, seven hundred fifty-one million, eight hundred thirty-two thousand, nine hundred sixty".