13757764641 has 8 divisors (see below), whose sum is σ = 19422726624. Its totient is φ = 8632322880.

The previous prime is 13757764627. The next prime is 13757764661. The reversal of 13757764641 is 14646775731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13757764641 - 2¹⁷ = 13757633569 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 269760091 = 13757764641 / (1 + 3 + 7 + 5 + 7 + 7 + 6 + 4 + 6 + 4 + 1).

It is not an unprimeable number, because it can be changed into a prime (13757764661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 134879995 + ... + 134880096.

It is an arithmetic number, because the mean of its divisors is an integer number (2427840828).

Almost surely, 2^13757764641 is an apocalyptic number.

It is an amenable number.

13757764641 is a deficient number, since it is larger than the sum of its proper divisors (5664961983).

13757764641 is a wasteful number, since it uses less digits than its factorization.

13757764641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269760111.

The product of its digits is 2963520, while the sum is 51.

The spelling of 13757764641 in words is "thirteen billion, seven hundred fifty-seven million, seven hundred sixty-four thousand, six hundred forty-one".