678417097881600 has 9216 divisors, whose sum is σ = 3474677606400000. Its totient is φ = 125478214041600.

The previous prime is 678417097881559. The next prime is 678417097881689. The reversal of 678417097881600 is 6188790714876.

678417097881600 is a `hidden beast` number, since 6 + 7 + 8 + 4 + 1 + 7 + 0 + 9 + 7 + 8 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2521996646266 + ... + 2521996646534.

It is an arithmetic number, because the mean of its divisors is an integer number (377026650000).

Almost surely, 2^{678417097881600} is an apocalyptic number.

678417097881600 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 678417097881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737338803200000).

678417097881600 is an abundant number, since it is smaller than the sum of its proper divisors (2796260508518400).

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

678417097881600 is a wasteful number, since it uses less digits than its factorization.

678417097881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 678417097881600 in words is "six hundred seventy-eight trillion, four hundred seventeen billion, ninety-seven million, eight hundred eighty-one thousand, six hundred".