10047320640 has 420 divisors, whose sum is σ = 40343710524. Its totient is φ = 2294949888.

The previous prime is 10047320629. The next prime is 10047320677. The reversal of 10047320640 is 4602374001.

10047320640 is a `hidden beast` number, since 10 + 0 + 4 + 7 + 3 + 2 + 0 + 640 = 666.

10047320640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7369879104 + 2677441536 = 85848^2 + 51744^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6914154 + ... + 6915606.

Almost surely, 2^10047320640 is an apocalyptic number.

10047320640 is a gapful number since it is divisible by the number (10) 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 10047320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20171855262).

10047320640 is an abundant number, since it is smaller than the sum of its proper divisors (30296389884).

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

10047320640 is an equidigital number, since it uses as much as digits as its factorization.

10047320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 10047320640 its reverse (4602374001), we get a palindrome (14649694641).

The spelling of 10047320640 in words is "ten billion, forty-seven million, three hundred twenty thousand, six hundred forty".