2676072471552 has 528 divisors, whose sum is σ = 8369053056000. Its totient is φ = 821061255168.

The previous prime is 2676072471497. The next prime is 2676072471571. The reversal of 2676072471552 is 2551742706762.

2676072471552 is a `hidden beast` number, since 2 + 6 + 7 + 60 + 7 + 24 + 7 + 1 + 552 = 666.

It is a super-3 number, since 3×2676072471552³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2575622649 + ... + 2575623687.

Almost surely, 2^{2676072471552} 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 2676072471552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184526528000).

2676072471552 is an abundant number, since it is smaller than the sum of its proper divisors (5692980584448).

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

2676072471552 is a wasteful number, since it uses less digits than its factorization.

2676072471552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 2676072471552 in words is "two trillion, six hundred seventy-six billion, seventy-two million, four hundred seventy-one thousand, five hundred fifty-two".