10727307037664 has 96 divisors (see below), whose sum is σ = 24401171773440. Its totient is φ = 4547142323712.

The previous prime is 10727307037651. The next prime is 10727307037729. The reversal of 10727307037664 is 46673070372701.

It is a super-3 number, since 3×10727307037664³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13356017 + ... + 14136399.

It is an arithmetic number, because the mean of its divisors is an integer number (254178872640).

Almost surely, 2^{10727307037664} is an apocalyptic number.

10727307037664 is a gapful number since it is divisible by the number (14) 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 10727307037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200585886720).

10727307037664 is an abundant number, since it is smaller than the sum of its proper divisors (13673864735776).

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

10727307037664 is a wasteful number, since it uses less digits than its factorization.

10727307037664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781072 (or 781064 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 53.

The spelling of 10727307037664 in words is "ten trillion, seven hundred twenty-seven billion, three hundred seven million, thirty-seven thousand, six hundred sixty-four".