979667773440 has 768 divisors, whose sum is σ = 3524871168000. Its totient is φ = 231128432640.

The previous prime is 979667773439. The next prime is 979667773477. The reversal of 979667773440 is 44377766979.

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

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, 524727387 + ... + 524729253.

It is an arithmetic number, because the mean of its divisors is an integer number (4589676000).

Almost surely, 2^979667773440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979667773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762435584000).

979667773440 is an abundant number, since it is smaller than the sum of its proper divisors (2545203394560).

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

979667773440 is a wasteful number, since it uses less digits than its factorization.

979667773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 69.

The spelling of 979667773440 in words is "nine hundred seventy-nine billion, six hundred sixty-seven million, seven hundred seventy-three thousand, four hundred forty".