979542701760 has 1344 divisors, whose sum is σ = 4015330836480. Its totient is φ = 197257420800.

The previous prime is 979542701743. The next prime is 979542701771. The reversal of 979542701760 is 67107245979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 979542701760.

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 191 ways as a sum of consecutive naturals, for example, 6487037685 + ... + 6487037835.

Almost surely, 2^979542701760 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 979542701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007665418240).

979542701760 is an abundant number, since it is smaller than the sum of its proper divisors (3035788134720).

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

979542701760 is a wasteful number, since it uses less digits than its factorization.

979542701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 979542701760 in words is "nine hundred seventy-nine billion, five hundred forty-two million, seven hundred one thousand, seven hundred sixty".