10643673776160 has 384 divisors, whose sum is σ = 37277905674240. Its totient is φ = 2541669580800.

The previous prime is 10643673776119. The next prime is 10643673776297. The reversal of 10643673776160 is 6167737634601.

It is a super-2 number, since 2×10643673776160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 10643673776160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11719200 + ... + 12594720.

It is an arithmetic number, because the mean of its divisors is an integer number (97077879360).

Almost surely, 2^{10643673776160} is an apocalyptic number.

10643673776160 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 10643673776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638952837120).

10643673776160 is an abundant number, since it is smaller than the sum of its proper divisors (26634231898080).

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

10643673776160 is a wasteful number, since it uses less digits than its factorization.

10643673776160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875632 (or 875624 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 57.

The spelling of 10643673776160 in words is "ten trillion, six hundred forty-three billion, six hundred seventy-three million, seven hundred seventy-six thousand, one hundred sixty".