678415927680 has 640 divisors, whose sum is σ = 2484166164480. Its totient is φ = 176356528128.

The previous prime is 678415927669. The next prime is 678415927747. The reversal of 678415927680 is 86729514876.

678415927680 is a `hidden beast` number, since 6 + 78 + 415 + 9 + 2 + 76 + 80 = 666.

678415927680 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 tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×678415927680³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 933171477 + ... + 933172203.

It is an arithmetic number, because the mean of its divisors is an integer number (3881509632).

Almost surely, 2^678415927680 is an apocalyptic number.

678415927680 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 678415927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242083082240).

678415927680 is an abundant number, since it is smaller than the sum of its proper divisors (1805750236800).

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

678415927680 is a wasteful number, since it uses less digits than its factorization.

678415927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 678415927680 in words is "six hundred seventy-eight billion, four hundred fifteen million, nine hundred twenty-seven thousand, six hundred eighty".