4872806400 has 672 divisors, whose sum is σ = 20282416128. Its totient is φ = 1002700800.

The previous prime is 4872806387. The next prime is 4872806423. The reversal of 4872806400 is 46082784.

It is a tau number, because it is divible by the number of its divisors (672).

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, 47308749 + ... + 47308851.

Almost surely, 2^4872806400 is an apocalyptic number.

4872806400 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 4872806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141208064).

4872806400 is an abundant number, since it is smaller than the sum of its proper divisors (15409609728).

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

4872806400 is a wasteful number, since it uses less digits than its factorization.

4872806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 4872806400 is about 69805.4897554626. The cubic root of 4872806400 is about 1695.3513598842.

The spelling of 4872806400 in words is "four billion, eight hundred seventy-two million, eight hundred six thousand, four hundred".