969046640640 has 768 divisors, whose sum is σ = 3780367718400. Its totient is φ = 233987899392.

The previous prime is 969046640623. The next prime is 969046640663. The reversal of 969046640640 is 46046640969.

969046640640 is a `hidden beast` number, since 96 + 90 + 4 + 66 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 190492177 + ... + 190497263.

It is an arithmetic number, because the mean of its divisors is an integer number (4922353800).

Almost surely, 2^969046640640 is an apocalyptic number.

969046640640 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 969046640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890183859200).

969046640640 is an abundant number, since it is smaller than the sum of its proper divisors (2811321077760).

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

969046640640 is a wasteful number, since it uses less digits than its factorization.

969046640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 969046640640 in words is "nine hundred sixty-nine billion, forty-six million, six hundred forty thousand, six hundred forty".