678975946176 has 672 divisors, whose sum is σ = 2154671092224. Its totient is φ = 188011929600.

The previous prime is 678975946151. The next prime is 678975946217. The reversal of 678975946176 is 671649579876.

678975946176 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×678975946176² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 678975946098 and 678975946107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1205996071 + ... + 1205996633.

It is an arithmetic number, because the mean of its divisors is an integer number (3206355792).

Almost surely, 2^678975946176 is an apocalyptic number.

678975946176 is a gapful number since it is divisible by the number (66) 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 678975946176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077335546112).

678975946176 is an abundant number, since it is smaller than the sum of its proper divisors (1475695146048).

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

678975946176 is a wasteful number, since it uses less digits than its factorization.

678975946176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 75.

The spelling of 678975946176 in words is "six hundred seventy-eight billion, nine hundred seventy-five million, nine hundred forty-six thousand, one hundred seventy-six".