1320664464 has 180 divisors, whose sum is σ = 4526205840. Its totient is φ = 357436800.

The previous prime is 1320664463. The next prime is 1320664481. The reversal of 1320664464 is 4644660231.

1320664464 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 6 + 644 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1320664463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129139 + ... + 138989.

It is an arithmetic number, because the mean of its divisors is an integer number (25145588).

Almost surely, 2^1320664464 is an apocalyptic number.

1320664464 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 1320664464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263102920).

1320664464 is an abundant number, since it is smaller than the sum of its proper divisors (3205541376).

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

1320664464 is a wasteful number, since it uses less digits than its factorization.

1320664464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9898 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1320664464 is about 36340.9474835206. The cubic root of 1320664464 is about 1097.1453430701.

The spelling of 1320664464 in words is "one billion, three hundred twenty million, six hundred sixty-four thousand, four hundred sixty-four".