4872686400 has 252 divisors, whose sum is σ = 17378610912. Its totient is φ = 1294894080.

The previous prime is 4872686389. The next prime is 4872686407. The reversal of 4872686400 is 46862784.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4872686407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7530877 + ... + 7531523.

Almost surely, 2^4872686400 is an apocalyptic number.

4872686400 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 4872686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689305456).

4872686400 is an abundant number, since it is smaller than the sum of its proper divisors (12505924512).

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

4872686400 is a wasteful number, since it uses less digits than its factorization.

4872686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4872686400 is about 69804.6302189189. The cubic root of 4872686400 is about 1695.3374429326.

The spelling of 4872686400 in words is "four billion, eight hundred seventy-two million, six hundred eighty-six thousand, four hundred".