4728276201600 has 768 divisors, whose sum is σ = 19801304064000. Its totient is φ = 1079377367040.

The previous prime is 4728276201599. The next prime is 4728276201619. The reversal of 4728276201600 is 61026728274.

It is a happy number.

4728276201600 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 2 + 7 + 620 + 16 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521937871 + ... + 521946929.

It is an arithmetic number, because the mean of its divisors is an integer number (25782948000).

Almost surely, 2^{4728276201600} is an apocalyptic number.

4728276201600 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 4728276201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9900652032000).

4728276201600 is an abundant number, since it is smaller than the sum of its proper divisors (15073027862400).

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

4728276201600 is a wasteful number, since it uses less digits than its factorization.

4728276201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9962 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4728276201600 in words is "four trillion, seven hundred twenty-eight billion, two hundred seventy-six million, two hundred one thousand, six hundred".