13007017764 has 72 divisors (see below), whose sum is σ = 37490838840. Its totient is φ = 3766735872.

The previous prime is 13007017741. The next prime is 13007017813. The reversal of 13007017764 is 46771070031.

It can be written as a sum of positive squares in 4 ways, for example, as 1440000 + 13005577764 = 1200^2 + 114042^2 .

It is a super-2 number, since 2×13007017764² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809479 + ... + 825390.

It is an arithmetic number, because the mean of its divisors is an integer number (520706095).

Almost surely, 2^13007017764 is an apocalyptic number.

It is an amenable number.

13007017764 is an abundant number, since it is smaller than the sum of its proper divisors (24483821076).

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

13007017764 is a wasteful number, since it uses less digits than its factorization.

13007017764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634909 (or 1634904 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

Adding to 13007017764 its reverse (46771070031), we get a palindrome (59778087795).

The spelling of 13007017764 in words is "thirteen billion, seven million, seventeen thousand, seven hundred sixty-four".