969930339840 has 960 divisors, whose sum is σ = 4343347008000. Its totient is φ = 201534013440.

The previous prime is 969930339793. The next prime is 969930339853. The reversal of 969930339840 is 48933039969.

969930339840 is a `hidden beast` number, since 96 + 99 + 30 + 3 + 398 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 47890036 + ... + 47910284.

It is an arithmetic number, because the mean of its divisors is an integer number (4524319800).

Almost surely, 2^969930339840 is an apocalyptic number.

969930339840 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 969930339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171673504000).

969930339840 is an abundant number, since it is smaller than the sum of its proper divisors (3373416668160).

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

969930339840 is a wasteful number, since it uses less digits than its factorization.

969930339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20305 (or 20277 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 969930339840 in words is "nine hundred sixty-nine billion, nine hundred thirty million, three hundred thirty-nine thousand, eight hundred forty".