678499088004 has 768 divisors, whose sum is σ = 2084963328000. Its totient is φ = 189556899840.

The previous prime is 678499087967. The next prime is 678499088011. The reversal of 678499088004 is 400880994876.

678499088004 is a `hidden beast` number, since 67 + 8 + 499 + 0 + 8 + 80 + 0 + 4 = 666.

It is a super-2 number, since 2×678499088004² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6004416652 + ... + 6004416764.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796000).

Almost surely, 2^678499088004 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 678499088004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042481664000).

678499088004 is an abundant number, since it is smaller than the sum of its proper divisors (1406464239996).

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

678499088004 is a wasteful number, since it uses less digits than its factorization.

678499088004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 678499088004 in words is "six hundred seventy-eight billion, four hundred ninety-nine million, eighty-eight thousand, four".