678854715829920 has 4608 divisors, whose sum is σ = 3078597279744000. Its totient is φ = 138862947041280.

The previous prime is 678854715829847. The next prime is 678854715829937. The reversal of 678854715829920 is 29928517458876.

It is a happy number.

678854715829920 is a `hidden beast` number, since 6 + 7 + 8 + 8 + 5 + 4 + 7 + 1 + 582 + 9 + 9 + 20 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 678854715829920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 471754492561 + ... + 471754493999.

It is an arithmetic number, because the mean of its divisors is an integer number (668098368000).

Almost surely, 2^{678854715829920} is an apocalyptic number.

678854715829920 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 678854715829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539298639872000).

678854715829920 is an abundant number, since it is smaller than the sum of its proper divisors (2399742563914080).

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

678854715829920 is a wasteful number, since it uses less digits than its factorization.

678854715829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 4877107200, while the sum is 81.

The spelling of 678854715829920 in words is "six hundred seventy-eight trillion, eight hundred fifty-four billion, seven hundred fifteen million, eight hundred twenty-nine thousand, nine hundred twenty".