1964656512 has 256 divisors, whose sum is σ = 7137715200. Its totient is φ = 518068224.

The previous prime is 1964656469. The next prime is 1964656597. The reversal of 1964656512 is 2156564691.

1964656512 is a `hidden beast` number, since 1 + 96 + 46 + 5 + 6 + 512 = 666.

It is a super-2 number, since 2×1964656512² = 7719750420288012288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311373 + ... + 317619.

It is an arithmetic number, because the mean of its divisors is an integer number (27881700).

Almost surely, 2^1964656512 is an apocalyptic number.

1964656512 is a gapful number since it is divisible by the number (12) 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 1964656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568857600).

1964656512 is an abundant number, since it is smaller than the sum of its proper divisors (5173058688).

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

1964656512 is a wasteful number, since it uses less digits than its factorization.

1964656512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6272 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 1964656512 is about 44324.4459863854. The cubic root of 1964656512 is about 1252.4552302116.

The spelling of 1964656512 in words is "one billion, nine hundred sixty-four million, six hundred fifty-six thousand, five hundred twelve".