2720322746496 has 192 divisors, whose sum is σ = 8295740851320. Its totient is φ = 852687323136.

The previous prime is 2720322746443. The next prime is 2720322746497. The reversal of 2720322746496 is 6946472230272.

2720322746496 is a `hidden beast` number, since 2 + 72 + 0 + 3 + 2 + 27 + 464 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2513239502400 + 207083244096 = 1585320^2 + 455064^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2720322746497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22520116 + ... + 22640588.

Almost surely, 2^{2720322746496} 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 2720322746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147870425660).

2720322746496 is an abundant number, since it is smaller than the sum of its proper divisors (5575418104824).

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

2720322746496 is a wasteful number, since it uses less digits than its factorization.

2720322746496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121663 (or 121648 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2720322746496 in words is "two trillion, seven hundred twenty billion, three hundred twenty-two million, seven hundred forty-six thousand, four hundred ninety-six".