276738837672 has 96 divisors (see below), whose sum is σ = 776640412800. Its totient is φ = 82075952640.

The previous prime is 276738837667. The next prime is 276738837679.

276738837672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (276738837679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877297 + ... + 1150272.

It is an arithmetic number, because the mean of its divisors is an integer number (8090004300).

Almost surely, 2^276738837672 is an apocalyptic number.

276738837672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

276738837672 is an abundant number, since it is smaller than the sum of its proper divisors (499901575128).

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

276738837672 is a wasteful number, since it uses less digits than its factorization.

276738837672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027647 (or 2027632 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 66.

The spelling of 276738837672 in words is "two hundred seventy-six billion, seven hundred thirty-eight million, eight hundred thirty-seven thousand, six hundred seventy-two".