4757143200 has 144 divisors (see below), whose sum is σ = 15526256256. Its totient is φ = 1265152000.

The previous prime is 4757143189. The next prime is 4757143217. The reversal of 4757143200 is 23417574.

It is a super-2 number, since 2×4757143200² = 45260822850612480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959929 + ... + 964871.

It is an arithmetic number, because the mean of its divisors is an integer number (107821224).

Almost surely, 2^4757143200 is an apocalyptic number.

4757143200 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 4757143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763128128).

4757143200 is an abundant number, since it is smaller than the sum of its proper divisors (10769113056).

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

4757143200 is a wasteful number, since it uses less digits than its factorization.

4757143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 4757143200 is about 68972.0465116122. The cubic root of 4757143200 is about 1681.8299221528.

The spelling of 4757143200 in words is "four billion, seven hundred fifty-seven million, one hundred forty-three thousand, two hundred".