672874868478276 has 36 divisors (see below), whose sum is σ = 1717718517395244. Its totient is φ = 222070913688000.

The previous prime is 672874868478271. The next prime is 672874868478403.

672874868478276 is a `hidden beast` number, since 6 + 7 + 2 + 8 + 7 + 4 + 8 + 68 + 478 + 2 + 76 = 666.

672874868478276 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 585646292016900 + 87228576461376 = 24200130^2 + 9339624^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×672874868478276⁴ (a number of 60 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (672874868478271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92529543735 + ... + 92529551006.

It is an arithmetic number, because the mean of its divisors is an integer number (47714403260979).

Almost surely, 2^{672874868478276} is an apocalyptic number.

It is an amenable number.

672874868478276 is an abundant number, since it is smaller than the sum of its proper divisors (1044843648916968).

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

672874868478276 is a wasteful number, since it uses less digits than its factorization.

672874868478276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185059094852 (or 185059094847 counting only the distinct ones).

The product of its digits is 135952072704, while the sum is 90.

The spelling of 672874868478276 in words is "six hundred seventy-two trillion, eight hundred seventy-four billion, eight hundred sixty-eight million, four hundred seventy-eight thousand, two hundred seventy-six".