10332816768000 has 528 divisors, whose sum is σ = 37265599889856. Its totient is φ = 2753158348800.

The previous prime is 10332816767993. The next prime is 10332816768023. The reversal of 10332816768000 is 86761823301.

10332816768000 is a `hidden beast` number, since 103 + 328 + 167 + 68 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10332816768000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1777533094 + ... + 1777538906.

Almost surely, 2^{10332816768000} is an apocalyptic number.

10332816768000 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 10332816768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632799944928).

10332816768000 is an abundant number, since it is smaller than the sum of its proper divisors (26932783121856).

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

10332816768000 is a wasteful number, since it uses less digits than its factorization.

10332816768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10332816768000 in words is "ten trillion, three hundred thirty-two billion, eight hundred sixteen million, seven hundred sixty-eight thousand".