678537000735876 has 18 divisors (see below), whose sum is σ = 1715190751860222. Its totient is φ = 226179000245280.

The previous prime is 678537000735823. The next prime is 678537000735901.

It is a happy number.

678537000735876 is a `hidden beast` number, since 6 + 7 + 8 + 5 + 37 + 0 + 0 + 0 + 7 + 3 + 587 + 6 = 666.

678537000735876 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 578593472760900 + 99943527974976 = 24053970^2 + 9997176^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×678537000735876² (a number of 30 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 9424125010185 + ... + 9424125010256.

Almost surely, 2^{678537000735876} is an apocalyptic number.

It is an amenable number.

678537000735876 is an abundant number, since it is smaller than the sum of its proper divisors (1036653751124346).

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

678537000735876 is a wasteful number, since it uses less digits than its factorization.

678537000735876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18848250020451 (or 18848250020446 counting only the distinct ones).

The product of its (nonzero) digits is 1244678400, while the sum is 72.

The spelling of 678537000735876 in words is "six hundred seventy-eight trillion, five hundred thirty-seven billion, seven hundred thirty-five thousand, eight hundred seventy-six".