276071345992680 has 512 divisors, whose sum is σ = 1007611024896000. Its totient is φ = 59106279260160.

The previous prime is 276071345992639. The next prime is 276071345992751. The reversal of 276071345992680 is 86299543170672.

It is a super-2 number, since 2×276071345992680² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1580543191 + ... + 1580717849.

It is an arithmetic number, because the mean of its divisors is an integer number (1967990283000).

It is a 1-persistent number, because it is pandigital, but 2⋅276071345992680 = 552142691985360 is not.

Almost surely, 2^{276071345992680} is an apocalyptic number.

276071345992680 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 276071345992680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503805512448000).

276071345992680 is an abundant number, since it is smaller than the sum of its proper divisors (731539678903320).

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

276071345992680 is a wasteful number, since it uses less digits than its factorization.

276071345992680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175817 (or 175813 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 276071345992680 in words is "two hundred seventy-six trillion, seventy-one billion, three hundred forty-five million, nine hundred ninety-two thousand, six hundred eighty".