2079632537856 has 648 divisors, whose sum is σ = 6582778282080. Its totient is φ = 654438113280.

The previous prime is 2079632537797. The next prime is 2079632537893. The reversal of 2079632537856 is 6587352369702.

It is a happy number.

2079632537856 is a `hidden beast` number, since 2 + 0 + 7 + 96 + 3 + 2 + 537 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2079632537793 and 2079632537802.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2570620780 + ... + 2570621588.

It is an arithmetic number, because the mean of its divisors is an integer number (10158608460).

Almost surely, 2^{2079632537856} 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 2079632537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291389141040).

2079632537856 is an abundant number, since it is smaller than the sum of its proper divisors (4503145744224).

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

2079632537856 is an frugal number, since it uses more digits than its factorization.

2079632537856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 2079632537856 in words is "two trillion, seventy-nine billion, six hundred thirty-two million, five hundred thirty-seven thousand, eight hundred fifty-six".