10368970634880 has 1024 divisors, whose sum is σ = 43185804480000. Its totient is φ = 2318061404160.

The previous prime is 10368970634779. The next prime is 10368970634903. The reversal of 10368970634880 is 8843607986301.

10368970634880 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 8 + 97 + 0 + 63 + 488 + 0 = 666.

It is a super-4 number, since 4×10368970634880⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 4816055884 + ... + 4816058036.

Almost surely, 2^{10368970634880} is an apocalyptic number.

10368970634880 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 10368970634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21592902240000).

10368970634880 is an abundant number, since it is smaller than the sum of its proper divisors (32816833845120).

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

10368970634880 is a wasteful number, since it uses less digits than its factorization.

10368970634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10368970634880 in words is "ten trillion, three hundred sixty-eight billion, nine hundred seventy million, six hundred thirty-four thousand, eight hundred eighty".