1350401664 has 128 divisors (see below), whose sum is σ = 3921108480. Its totient is φ = 409927680.

The previous prime is 1350401629. The next prime is 1350401677. The reversal of 1350401664 is 4661040531.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199032 + ... + 205704.

It is an arithmetic number, because the mean of its divisors is an integer number (30633660).

Almost surely, 2^1350401664 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 1350401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960554240).

1350401664 is an abundant number, since it is smaller than the sum of its proper divisors (2570706816).

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

1350401664 is a wasteful number, since it uses less digits than its factorization.

1350401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1350401664 is about 36747.8116899496. The cubic root of 1350401664 is about 1105.3190493030.

The spelling of 1350401664 in words is "one billion, three hundred fifty million, four hundred one thousand, six hundred sixty-four".