1350065664 has 160 divisors (see below), whose sum is σ = 4064338080. Its totient is φ = 442368000.

The previous prime is 1350065641. The next prime is 1350065701. The reversal of 1350065664 is 4665600531.

It is a super-2 number, since 2×1350065664² = 3645354594223521792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842464 + ... + 844064.

It is an arithmetic number, because the mean of its divisors is an integer number (25402113).

Almost surely, 2^1350065664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032169040).

1350065664 is an abundant number, since it is smaller than the sum of its proper divisors (2714272416).

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

1350065664 is an equidigital number, since it uses as much as digits as its factorization.

1350065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1350065664 is about 36743.2397047402. The cubic root of 1350065664 is about 1105.2273684308.

The spelling of 1350065664 in words is "one billion, three hundred fifty million, sixty-five thousand, six hundred sixty-four".