678259804397952 has 512 divisors, whose sum is σ = 2133043061760000. Its totient is φ = 190836975200256.

The previous prime is 678259804397939. The next prime is 678259804397963. The reversal of 678259804397952 is 259793408952876.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

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, 33948626299 + ... + 33948646277.

It is an arithmetic number, because the mean of its divisors is an integer number (4166099730000).

Almost surely, 2^{678259804397952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678259804397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066521530880000).

678259804397952 is an abundant number, since it is smaller than the sum of its proper divisors (1454783257362048).

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

678259804397952 is a wasteful number, since it uses less digits than its factorization.

678259804397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931 (or 23905 counting only the distinct ones).

The product of its (nonzero) digits is 16460236800, while the sum is 84.

The spelling of 678259804397952 in words is "six hundred seventy-eight trillion, two hundred fifty-nine billion, eight hundred four million, three hundred ninety-seven thousand, nine hundred fifty-two".