1468809664 has 112 divisors (see below), whose sum is σ = 3402380800. Its totient is φ = 616190976.

The previous prime is 1468809637. The next prime is 1468809677. The reversal of 1468809664 is 4669088641.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 6413902 + ... + 6414130.

It is an arithmetic number, because the mean of its divisors is an integer number (30378400).

Almost surely, 2^1468809664 is an apocalyptic number.

1468809664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701190400).

1468809664 is an abundant number, since it is smaller than the sum of its proper divisors (1933571136).

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

1468809664 is a wasteful number, since it uses less digits than its factorization.

1468809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The square root of 1468809664 is about 38325.0526940277. The cubic root of 1468809664 is about 1136.7243776460.

The spelling of 1468809664 in words is "one billion, four hundred sixty-eight million, eight hundred nine thousand, six hundred sixty-four".