2716353948672 has 792 divisors, whose sum is σ = 9842320616544. Its totient is φ = 706380300288.

The previous prime is 2716353948667. The next prime is 2716353948677. The reversal of 2716353948672 is 2768493536172.

It is a happy number.

2716353948672 is a `hidden beast` number, since 2 + 7 + 16 + 3 + 539 + 4 + 86 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2716353948667) and next prime (2716353948677).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2716353948677) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795882838 + ... + 795886250.

Almost surely, 2^{2716353948672} 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 2716353948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921160308272).

2716353948672 is an abundant number, since it is smaller than the sum of its proper divisors (7125966667872).

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

2716353948672 is a wasteful number, since it uses less digits than its factorization.

2716353948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3511 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 2716353948672 in words is "two trillion, seven hundred sixteen billion, three hundred fifty-three million, nine hundred forty-eight thousand, six hundred seventy-two".