678969849600 has 648 divisors, whose sum is σ = 2791542079872. Its totient is φ = 154226073600.

The previous prime is 678969849577. The next prime is 678969849671. The reversal of 678969849600 is 6948969876.

678969849600 is a `hidden beast` number, since 6 + 7 + 8 + 9 + 6 + 9 + 8 + 4 + 9 + 600 = 666.

It is a super-2 number, since 2×678969849600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65716435 + ... + 65726765.

Almost surely, 2^678969849600 is an apocalyptic number.

678969849600 is a gapful number since it is divisible by the number (60) 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 678969849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395771039936).

678969849600 is an abundant number, since it is smaller than the sum of its proper divisors (2112572230272).

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

678969849600 is a wasteful number, since it uses less digits than its factorization.

678969849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10533 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 678969849600 in words is "six hundred seventy-eight billion, nine hundred sixty-nine million, eight hundred forty-nine thousand, six hundred".