1964756864 has 128 divisors (see below), whose sum is σ = 4750099200. Its totient is φ = 790732800.

The previous prime is 1964756851. The next prime is 1964756879. The reversal of 1964756864 is 4686574691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1964756864² = 7720539069270228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 2229704 + ... + 2230584.

It is an arithmetic number, because the mean of its divisors is an integer number (37110150).

Almost surely, 2^1964756864 is an apocalyptic number.

1964756864 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 1964756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375049600).

1964756864 is an abundant number, since it is smaller than the sum of its proper divisors (2785342336).

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

1964756864 is a wasteful number, since it uses less digits than its factorization.

1964756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1040 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 56.

The square root of 1964756864 is about 44325.5779883354. The cubic root of 1964756864 is about 1252.4765544221.

The spelling of 1964756864 in words is "one billion, nine hundred sixty-four million, seven hundred fifty-six thousand, eight hundred sixty-four".