678827027200 has 324 divisors, whose sum is σ = 2069509933512. Its totient is φ = 219048345600.

The previous prime is 678827027191. The next prime is 678827027227. The reversal of 678827027200 is 2720728876.

It is a super-2 number, since 2×678827027200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5267535 + ... + 5394865.

It is an arithmetic number, because the mean of its divisors is an integer number (6387376338).

Almost surely, 2^678827027200 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 678827027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034754966756).

678827027200 is an abundant number, since it is smaller than the sum of its proper divisors (1390682906312).

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

678827027200 is a wasteful number, since it uses less digits than its factorization.

678827027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127388 (or 127362 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 49.

The spelling of 678827027200 in words is "six hundred seventy-eight billion, eight hundred twenty-seven million, twenty-seven thousand, two hundred".