678623299200 has 2304 divisors, whose sum is σ = 3273116221440. Its totient is φ = 129554841600.

The previous prime is 678623299199. The next prime is 678623299219. The reversal of 678623299200 is 2992326876.

It is a happy number.

678623299200 is a `hidden beast` number, since 6 + 7 + 8 + 623 + 2 + 9 + 9 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×678623299200³ (a number of 36 digits) contains 333 as substring.

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, 1771862209 + ... + 1771862591.

It is an arithmetic number, because the mean of its divisors is an integer number (1420623360).

Almost surely, 2^678623299200 is an apocalyptic number.

678623299200 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 678623299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636558110720).

678623299200 is an abundant number, since it is smaller than the sum of its proper divisors (2594492922240).

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

678623299200 is a wasteful number, since it uses less digits than its factorization.

678623299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 678623299200 in words is "six hundred seventy-eight billion, six hundred twenty-three million, two hundred ninety-nine thousand, two hundred".