10746667008000 has 2176 divisors, whose sum is σ = 49622599802880. Its totient is φ = 2229534720000.

The previous prime is 10746667007959. The next prime is 10746667008047. The reversal of 10746667008000 is 80076664701.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17031167685 + ... + 17031168315.

Almost surely, 2^{10746667008000} is an apocalyptic number.

10746667008000 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 10746667008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811299901440).

10746667008000 is an abundant number, since it is smaller than the sum of its proper divisors (38875932794880).

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

10746667008000 is an frugal number, since it uses more digits than its factorization.

10746667008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10746667008000 in words is "ten trillion, seven hundred forty-six billion, six hundred sixty-seven million, eight thousand".