678989001600 has 2304 divisors, whose sum is σ = 3174281208000. Its totient is φ = 141296762880.

The previous prime is 678989001599. The next prime is 678989001629. The reversal of 678989001600 is 6100989876.

678989001600 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 2×678989001600² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9301219164 + ... + 9301219236.

Almost surely, 2^678989001600 is an apocalyptic number.

678989001600 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 678989001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587140604000).

678989001600 is an abundant number, since it is smaller than the sum of its proper divisors (2495292206400).

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

678989001600 is a wasteful number, since it uses less digits than its factorization.

678989001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 678989001600 in words is "six hundred seventy-eight billion, nine hundred eighty-nine million, one thousand, six hundred".