10767297198736 has 45 divisors (see below), whose sum is σ = 22590179367849. Its totient is φ = 4969443031488.

The previous prime is 10767297198719. The next prime is 10767297198737. The reversal of 10767297198736 is 63789179276701.

The square root of 10767297198736 is 3281356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1592795443600 + 9174501755136 = 1262060^2 + 3028944^2 .

It is a super-2 number, since 2×10767297198736² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10767297198737) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 170598961 + ... + 170662063.

Almost surely, 2^{10767297198736} is an apocalyptic number.

10767297198736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10767297198736 is the 3281356-th square number.

It is an amenable number.

10767297198736 is an abundant number, since it is smaller than the sum of its proper divisors (11822882169113).

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

10767297198736 is an frugal number, since it uses more digits than its factorization.

10767297198736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126240 (or 63118 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 73.

The spelling of 10767297198736 in words is "ten trillion, seven hundred sixty-seven billion, two hundred ninety-seven million, one hundred ninety-eight thousand, seven hundred thirty-six".