1264017664 has 144 divisors (see below), whose sum is σ = 3214149120. Its totient is φ = 482549760.

The previous prime is 1264017649. The next prime is 1264017679. The reversal of 1264017664 is 4667104621.

It is an interprime number because it is at equal distance from previous prime (1264017649) and next prime (1264017679).

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, 674649 + ... + 676519.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^1264017664 is an apocalyptic number.

1264017664 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 1264017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

1264017664 is an abundant number, since it is smaller than the sum of its proper divisors (1950131456).

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

1264017664 is a wasteful number, since it uses less digits than its factorization.

1264017664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 1264017664 is about 35553.0260878030. The cubic root of 1264017664 is about 1081.2290717145.

The spelling of 1264017664 in words is "one billion, two hundred sixty-four million, seventeen thousand, six hundred sixty-four".