10320243650640 has 4320 divisors, whose sum is σ = 50997913424640. Its totient is φ = 1922137620480.

The previous prime is 10320243650621. The next prime is 10320243650653. The reversal of 10320243650640 is 4605634202301.

10320243650640 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 2 + 4 + 3 + 6 + 5 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10320243650595 and 10320243650604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 45066566046 + ... + 45066566274.

It is an arithmetic number, because the mean of its divisors is an integer number (11805072552).

Almost surely, 2^{10320243650640} is an apocalyptic number.

10320243650640 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 10320243650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25498956712320).

10320243650640 is an abundant number, since it is smaller than the sum of its proper divisors (40677669774000).

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

10320243650640 is a wasteful number, since it uses less digits than its factorization.

10320243650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10320243650640 its reverse (4605634202301), we get a palindrome (14925877852941).

The spelling of 10320243650640 in words is "ten trillion, three hundred twenty billion, two hundred forty-three million, six hundred fifty thousand, six hundred forty".