965804912640 has 260 divisors, whose sum is σ = 3462172731864. Its totient is φ = 257547534336.

The previous prime is 965804912623. The next prime is 965804912641. The reversal of 965804912640 is 46219408569.

965804912640 is a `hidden beast` number, since 9 + 6 + 580 + 4 + 9 + 12 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965804912641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1367779 + ... + 1949981.

Almost surely, 2^965804912640 is an apocalyptic number.

965804912640 is a gapful number since it is divisible by the number (90) 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 965804912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731086365932).

965804912640 is an abundant number, since it is smaller than the sum of its proper divisors (2496367819224).

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

965804912640 is an equidigital number, since it uses as much as digits as its factorization.

965804912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582244 (or 582213 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 965804912640 in words is "nine hundred sixty-five billion, eight hundred four million, nine hundred twelve thousand, six hundred forty".