1264664016 has 800 divisors, whose sum is σ = 5185382400. Its totient is φ = 287400960.

The previous prime is 1264663991. The next prime is 1264664029. The reversal of 1264664016 is 6104664621.

1264664016 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 6 + 640 + 1 + 6 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43609090 + ... + 43609118.

It is an arithmetic number, because the mean of its divisors is an integer number (6481728).

Almost surely, 2^1264664016 is an apocalyptic number.

1264664016 is a gapful number since it is divisible by the number (16) 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 1264664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592691200).

1264664016 is an abundant number, since it is smaller than the sum of its proper divisors (3920718384).

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

1264664016 is a wasteful number, since it uses less digits than its factorization.

1264664016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1264664016 is about 35562.1148977391. The cubic root of 1264664016 is about 1081.4133348271.

The spelling of 1264664016 in words is "one billion, two hundred sixty-four million, six hundred sixty-four thousand, sixteen".