678205592064 has 2400 divisors, whose sum is σ = 2973596427648. Its totient is φ = 148104806400.

The previous prime is 678205591957. The next prime is 678205592093. The reversal of 678205592064 is 460295502876.

678205592064 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 0 + 559 + 20 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 678205592064.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21877599729 + ... + 21877599759.

Almost surely, 2^678205592064 is an apocalyptic number.

678205592064 is a gapful number since it is divisible by the number (64) 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 678205592064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486798213824).

678205592064 is an abundant number, since it is smaller than the sum of its proper divisors (2295390835584).

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

678205592064 is a wasteful number, since it uses less digits than its factorization.

678205592064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 678205592064 in words is "six hundred seventy-eight billion, two hundred five million, five hundred ninety-two thousand, sixty-four".