4762867200 has 960 divisors, whose sum is σ = 20458690560. Its totient is φ = 949616640.

The previous prime is 4762867189. The next prime is 4762867231. The reversal of 4762867200 is 27682674.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101337577 + ... + 101337623.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2^4762867200 is an apocalyptic number.

4762867200 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 4762867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229345280).

4762867200 is an abundant number, since it is smaller than the sum of its proper divisors (15695823360).

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

4762867200 is a wasteful number, since it uses less digits than its factorization.

4762867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 4762867200 is about 69013.5291084292. The cubic root of 4762867200 is about 1682.5042018990.

The spelling of 4762867200 in words is "four billion, seven hundred sixty-two million, eight hundred sixty-seven thousand, two hundred".