4727973600 has 216 divisors, whose sum is σ = 19053936720. Its totient is φ = 1080668160.

The previous prime is 4727973577. The next prime is 4727973641. The reversal of 4727973600 is 63797274.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 3496 + ... + 97304.

It is an arithmetic number, because the mean of its divisors is an integer number (88212670).

Almost surely, 2^4727973600 is an apocalyptic number.

4727973600 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 4727973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526968360).

4727973600 is an abundant number, since it is smaller than the sum of its proper divisors (14325963120).

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

4727973600 is a wasteful number, since it uses less digits than its factorization.

4727973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93842 (or 93826 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 4727973600 is about 68760.2617796064. The cubic root of 4727973600 is about 1678.3853534236.

The spelling of 4727973600 in words is "four billion, seven hundred twenty-seven million, nine hundred seventy-three thousand, six hundred".