247996300320 has 720 divisors, whose sum is σ = 931494802392. Its totient is φ = 62115102720.

The previous prime is 247996300273. The next prime is 247996300351. The reversal of 247996300320 is 23003699742.

247996300320 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 9 + 630 + 0 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143183532816 + 104812767504 = 378396^2 + 323748^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 418205944 + ... + 418206536.

Almost surely, 2^247996300320 is an apocalyptic number.

247996300320 is a gapful number since it is divisible by the number (20) 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 247996300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465747401196).

247996300320 is an abundant number, since it is smaller than the sum of its proper divisors (683498502072).

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

247996300320 is a wasteful number, since it uses less digits than its factorization.

247996300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 247996300320 in words is "two hundred forty-seven billion, nine hundred ninety-six million, three hundred thousand, three hundred twenty".