4755948000 has 192 divisors, whose sum is σ = 15652465920. Its totient is φ = 1262400000.

The previous prime is 4755947957. The next prime is 4755948011. The reversal of 4755948000 is 8495574.

It is a congruent number.

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, 3011211 + ... + 3012789.

It is an arithmetic number, because the mean of its divisors is an integer number (81523260).

Almost surely, 2^4755948000 is an apocalyptic number.

4755948000 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 4755948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826232960).

4755948000 is an abundant number, since it is smaller than the sum of its proper divisors (10896517920).

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

4755948000 is a wasteful number, since it uses less digits than its factorization.

4755948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 4755948000 is about 68963.3815876223. The cubic root of 4755948000 is about 1681.6890608974.

It can be divided in two parts, 47559 and 48000, that added together give a palindrome (95559).

The spelling of 4755948000 in words is "four billion, seven hundred fifty-five million, nine hundred forty-eight thousand".