979665519456 has 384 divisors, whose sum is σ = 3109065523200. Its totient is φ = 298322196480.

The previous prime is 979665519421. The next prime is 979665519487. The reversal of 979665519456 is 654915566979.

979665519456 is a `hidden beast` number, since 9 + 7 + 9 + 6 + 65 + 519 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 942892185 + ... + 942893223.

It is an arithmetic number, because the mean of its divisors is an integer number (8096524800).

Almost surely, 2^979665519456 is an apocalyptic number.

979665519456 is a gapful number since it is divisible by the number (96) 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 979665519456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554532761600).

979665519456 is an abundant number, since it is smaller than the sum of its proper divisors (2129400003744).

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

979665519456 is a wasteful number, since it uses less digits than its factorization.

979665519456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1845 counting only the distinct ones).

The product of its digits is 551124000, while the sum is 72.

The spelling of 979665519456 in words is "nine hundred seventy-nine billion, six hundred sixty-five million, five hundred nineteen thousand, four hundred fifty-six".