4743868800 has 384 divisors, whose sum is σ = 17211398400. Its totient is φ = 1138892800.

The previous prime is 4743868799. The next prime is 4743868847. The reversal of 4743868800 is 88683474.

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

It is a super-2 number, since 2×4743868800² = 45008582383226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4743868800.

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, 17635066 + ... + 17635334.

It is an arithmetic number, because the mean of its divisors is an integer number (44821350).

Almost surely, 2^4743868800 is an apocalyptic number.

4743868800 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 4743868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605699200).

4743868800 is an abundant number, since it is smaller than the sum of its proper divisors (12467529600).

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

4743868800 is a wasteful number, since it uses less digits than its factorization.

4743868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 4743868800 is about 68875.7489977423. The cubic root of 4743868800 is about 1680.2641308066.

The spelling of 4743868800 in words is "four billion, seven hundred forty-three million, eight hundred sixty-eight thousand, eight hundred".