10356020640 has 768 divisors, whose sum is σ = 43908480000. Its totient is φ = 2275983360.

The previous prime is 10356020617. The next prime is 10356020693. The reversal of 10356020640 is 4602065301.

10356020640 is a `hidden beast` number, since 10 + 3 + 5 + 6 + 0 + 2 + 0 + 640 = 666.

It is a super-3 number, since 3×10356020640³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42970920 + ... + 42971160.

It is an arithmetic number, because the mean of its divisors is an integer number (57172500).

Almost surely, 2^10356020640 is an apocalyptic number.

10356020640 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 10356020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240000).

10356020640 is an abundant number, since it is smaller than the sum of its proper divisors (33552459360).

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

10356020640 is a wasteful number, since it uses less digits than its factorization.

10356020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10356020640 its reverse (4602065301), we get a palindrome (14958085941).

The spelling of 10356020640 in words is "ten billion, three hundred fifty-six million, twenty thousand, six hundred forty".