2676967512320 has 432 divisors, whose sum is σ = 7018113833472. Its totient is φ = 977053777920.

The previous prime is 2676967512319. The next prime is 2676967512353. The reversal of 2676967512320 is 232157696762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532321687 + ... + 1532323433.

Almost surely, 2^{2676967512320} is an apocalyptic number.

2676967512320 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 2676967512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509056916736).

2676967512320 is an abundant number, since it is smaller than the sum of its proper divisors (4341146321152).

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

2676967512320 is a wasteful number, since it uses less digits than its factorization.

2676967512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 2676967512320 in words is "two trillion, six hundred seventy-six billion, nine hundred sixty-seven million, five hundred twelve thousand, three hundred twenty".