678886790400 has 2592 divisors, whose sum is σ = 3194823018240. Its totient is φ = 139744051200.

The previous prime is 678886790389. The next prime is 678886790401. The reversal of 678886790400 is 4097688876.

678886790400 is a `hidden beast` number, since 6 + 7 + 8 + 88 + 67 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×678886790400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678886790401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16558214380 + ... + 16558214420.

Almost surely, 2^678886790400 is an apocalyptic number.

678886790400 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 678886790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597411509120).

678886790400 is an abundant number, since it is smaller than the sum of its proper divisors (2515936227840).

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

678886790400 is an equidigital number, since it uses as much as digits as its factorization.

678886790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 678886790400 in words is "six hundred seventy-eight billion, eight hundred eighty-six million, seven hundred ninety thousand, four hundred".