4747672400 has 60 divisors (see below), whose sum is σ = 11507333052. Its totient is φ = 1882245120.

The previous prime is 4747672393. The next prime is 4747672403. The reversal of 4747672400 is 42767474.

It can be written as a sum of positive squares in 6 ways, for example, as 2368574224 + 2379098176 = 48668^2 + 48776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4747672403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7319 + ... + 97718.

Almost surely, 2^4747672400 is an apocalyptic number.

4747672400 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 4747672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753666526).

4747672400 is an abundant number, since it is smaller than the sum of its proper divisors (6759660652).

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

4747672400 is a wasteful number, since it uses less digits than its factorization.

4747672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105168 (or 105157 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 41.

The square root of 4747672400 is about 68903.3555061000. The cubic root of 4747672400 is about 1680.7130854171.

The spelling of 4747672400 in words is "four billion, seven hundred forty-seven million, six hundred seventy-two thousand, four hundred".