2079331757664 has 192 divisors, whose sum is σ = 6396944440320. Its totient is φ = 579144867840.

The previous prime is 2079331757663. The next prime is 2079331757687. The reversal of 2079331757664 is 4667571339702.

It is a junction number, because it is equal to n+sod(n) for n = 2079331757598 and 2079331757607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079331757663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4001532 + ... + 4491204.

It is an arithmetic number, because the mean of its divisors is an integer number (33317418960).

Almost surely, 2^{2079331757664} is an apocalyptic number.

2079331757664 is a gapful number since it is divisible by the number (24) 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 2079331757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198472220160).

2079331757664 is an abundant number, since it is smaller than the sum of its proper divisors (4317612682656).

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

2079331757664 is a wasteful number, since it uses less digits than its factorization.

2079331757664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489853 (or 489845 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 60.

The spelling of 2079331757664 in words is "two trillion, seventy-nine billion, three hundred thirty-one million, seven hundred fifty-seven thousand, six hundred sixty-four".