2676391635456 has 480 divisors, whose sum is σ = 9952030112640. Its totient is φ = 695163617280.

The previous prime is 2676391635451. The next prime is 2676391635469. The reversal of 2676391635456 is 6545361936762.

2676391635456 is a `hidden beast` number, since 2 + 6 + 7 + 63 + 91 + 6 + 35 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2676391635393 and 2676391635402.

It is not an unprimeable number, because it can be changed into a prime (2676391635451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11594640 + ... + 11823216.

It is an arithmetic number, because the mean of its divisors is an integer number (20733396068).

Almost surely, 2^{2676391635456} 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 2676391635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976015056320).

2676391635456 is an abundant number, since it is smaller than the sum of its proper divisors (7275638477184).

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

2676391635456 is a wasteful number, since it uses less digits than its factorization.

2676391635456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228633 (or 228600 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 2676391635456 in words is "two trillion, six hundred seventy-six billion, three hundred ninety-one million, six hundred thirty-five thousand, four hundred fifty-six".