2676681625600 has 312 divisors, whose sum is σ = 6885758580120. Its totient is φ = 1030815744000.

The previous prime is 2676681625543. The next prime is 2676681625601. The reversal of 2676681625600 is 65261866762.

It can be written as a sum of positive squares in 12 ways, for example, as 843928846336 + 1832752779264 = 918656^2 + 1353792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676681625601) 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, 1250200530 + ... + 1250202670.

Almost surely, 2^{2676681625600} is an apocalyptic number.

2676681625600 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 2676681625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442879290060).

2676681625600 is an abundant number, since it is smaller than the sum of its proper divisors (4209076954520).

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

2676681625600 is a wasteful number, since it uses less digits than its factorization.

2676681625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 2676681625600 in words is "two trillion, six hundred seventy-six billion, six hundred eighty-one million, six hundred twenty-five thousand, six hundred".