13764027652640 has 48 divisors (see below), whose sum is σ = 32519256040152. Its totient is φ = 5505316337664.

The previous prime is 13764027652637. The next prime is 13764027652643. The reversal of 13764027652640 is 4625672046731.

It is an interprime number because it is at equal distance from previous prime (13764027652637) and next prime (13764027652643).

It can be written as a sum of positive squares in 4 ways, for example, as 7898505543184 + 5865522109456 = 2810428^2 + 2421884^2 .

It is a super-3 number, since 3×13764027652640³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13764027652643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 707972 + ... + 5294268.

Almost surely, 2^{13764027652640} is an apocalyptic number.

13764027652640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13764027652640 is an abundant number, since it is smaller than the sum of its proper divisors (18755228387512).

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

13764027652640 is a wasteful number, since it uses less digits than its factorization.

13764027652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605069 (or 4605061 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 53.

The spelling of 13764027652640 in words is "thirteen trillion, seven hundred sixty-four billion, twenty-seven million, six hundred fifty-two thousand, six hundred forty".