4684780800 has 540 divisors, whose sum is σ = 19811641696. Its totient is φ = 1069977600.

The previous prime is 4684780799. The next prime is 4684780811. The reversal of 4684780800 is 80874864.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×4684780800² = 43894342288097280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628155 + ... + 3629445.

Almost surely, 2^4684780800 is an apocalyptic number.

4684780800 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 4684780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905820848).

4684780800 is an abundant number, since it is smaller than the sum of its proper divisors (15126860896).

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

4684780800 is a wasteful number, since it uses less digits than its factorization.

4684780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4684780800 is about 68445.4585783454. The cubic root of 4684780800 is about 1673.2586997959.

The spelling of 4684780800 in words is "four billion, six hundred eighty-four million, seven hundred eighty thousand, eight hundred".