2675637816696 has 384 divisors, whose sum is σ = 8437613184000. Its totient is φ = 758914458624.

The previous prime is 2675637816679. The next prime is 2675637816713. The reversal of 2675637816696 is 6966187365762.

2675637816696 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 6 + 378 + 166 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2675637816679) and next prime (2675637816713).

It is a super-2 number, since 2×2675637816696² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205701025 + ... + 205714031.

It is an arithmetic number, because the mean of its divisors is an integer number (21972951000).

Almost surely, 2^{2675637816696} is an apocalyptic number.

2675637816696 is a gapful number since it is divisible by the number (26) 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 2675637816696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218806592000).

2675637816696 is an abundant number, since it is smaller than the sum of its proper divisors (5761975367304).

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

2675637816696 is a wasteful number, since it uses less digits than its factorization.

2675637816696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13363 (or 13356 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 2675637816696 in words is "two trillion, six hundred seventy-five billion, six hundred thirty-seven million, eight hundred sixteen thousand, six hundred ninety-six".