2723696616960 has 1600 divisors, whose sum is σ = 11135479069440. Its totient is φ = 630400942080.

The previous prime is 2723696616947. The next prime is 2723696616961. The reversal of 2723696616960 is 696166963272.

It is a happy number.

2723696616960 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 6 + 9 + 6 + 616 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×2723696616960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723696616961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4979335407 + ... + 4979335953.

Almost surely, 2^{2723696616960} is an apocalyptic number.

2723696616960 is a gapful number since it is divisible by the number (20) 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 2723696616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567739534720).

2723696616960 is an abundant number, since it is smaller than the sum of its proper divisors (8411782452480).

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

2723696616960 is a wasteful number, since it uses less digits than its factorization.

2723696616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 2723696616960 in words is "two trillion, seven hundred twenty-three billion, six hundred ninety-six million, six hundred sixteen thousand, nine hundred sixty".