4797348249600 has 1020 divisors, whose sum is σ = 18271581037644. Its totient is φ = 1243443363840.

The previous prime is 4797348249587. The next prime is 4797348249623. The reversal of 4797348249600 is 69428437974.

4797348249600 is a `hidden beast` number, since 4 + 7 + 97 + 3 + 482 + 4 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 564157218816 + 4233191030784 = 751104^2 + 2057472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4910284312 + ... + 4910285288.

Almost surely, 2^{4797348249600} is an apocalyptic number.

4797348249600 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 4797348249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135790518822).

4797348249600 is an abundant number, since it is smaller than the sum of its proper divisors (13474232788044).

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

4797348249600 is an frugal number, since it uses more digits than its factorization.

4797348249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 4797348249600 in words is "four trillion, seven hundred ninety-seven billion, three hundred forty-eight million, two hundred forty-nine thousand, six hundred".