678510869400 has 2304 divisors, whose sum is σ = 3093801984000. Its totient is φ = 137168640000.

The previous prime is 678510869383. The next prime is 678510869423. The reversal of 678510869400 is 4968015876.

678510869400 is a `hidden beast` number, since 6 + 7 + 8 + 510 + 86 + 9 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6717929350 + ... + 6717929450.

It is an arithmetic number, because the mean of its divisors is an integer number (1342796000).

Almost surely, 2^678510869400 is an apocalyptic number.

678510869400 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 678510869400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546900992000).

678510869400 is an abundant number, since it is smaller than the sum of its proper divisors (2415291114600).

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

678510869400 is a wasteful number, since it uses less digits than its factorization.

678510869400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 678510869400 in words is "six hundred seventy-eight billion, five hundred ten million, eight hundred sixty-nine thousand, four hundred".