678476252160 has 704 divisors, whose sum is σ = 2807842060800. Its totient is φ = 152142741504.

The previous prime is 678476252081. The next prime is 678476252221. The reversal of 678476252160 is 61252674876.

It is a happy number.

678476252160 is a `hidden beast` number, since 6 + 7 + 8 + 4 + 7 + 625 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 678476252097 and 678476252106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51280426 + ... + 51293654.

Almost surely, 2^678476252160 is an apocalyptic number.

678476252160 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 678476252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403921030400).

678476252160 is an abundant number, since it is smaller than the sum of its proper divisors (2129365808640).

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

678476252160 is a wasteful number, since it uses less digits than its factorization.

678476252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13323 (or 13299 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 678476252160 in words is "six hundred seventy-eight billion, four hundred seventy-six million, two hundred fifty-two thousand, one hundred sixty".