1979242062336 has 960 divisors, whose sum is σ = 7423204884480. Its totient is φ = 510040903680.

The previous prime is 1979242062319. The next prime is 1979242062341. The reversal of 1979242062336 is 6332602429791.

1979242062336 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 2 + 4 + 2 + 0 + 623 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15584583105 + ... + 15584583231.

It is an arithmetic number, because the mean of its divisors is an integer number (7732505088).

Almost surely, 2^{1979242062336} is an apocalyptic number.

1979242062336 is a gapful number since it is divisible by the number (16) 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 1979242062336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711602442240).

1979242062336 is an abundant number, since it is smaller than the sum of its proper divisors (5443962822144).

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

1979242062336 is an frugal number, since it uses more digits than its factorization.

1979242062336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 1979242062336 in words is "one trillion, nine hundred seventy-nine billion, two hundred forty-two million, sixty-two thousand, three hundred thirty-six".