678499430400 has 1872 divisors, whose sum is σ = 2920489648128. Its totient is φ = 148635648000.

The previous prime is 678499430393. The next prime is 678499430429. The reversal of 678499430400 is 4034994876.

It is a happy number.

678499430400 is a `hidden beast` number, since 6 + 7 + 84 + 99 + 430 + 40 + 0 = 666.

678499430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×678499430400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5342515137 + ... + 5342515263.

It is an arithmetic number, because the mean of its divisors is an integer number (1560090624).

Almost surely, 2^678499430400 is an apocalyptic number.

678499430400 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 678499430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460244824064).

678499430400 is an abundant number, since it is smaller than the sum of its proper divisors (2241990217728).

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

678499430400 is a wasteful number, since it uses less digits than its factorization.

678499430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 678499430400 in words is "six hundred seventy-eight billion, four hundred ninety-nine million, four hundred thirty thousand, four hundred".