678126090240 has 720 divisors, whose sum is σ = 2480562924840. Its totient is φ = 177181655040.

The previous prime is 678126090227. The next prime is 678126090277. The reversal of 678126090240 is 42090621876.

It is a happy number.

678126090240 is a `hidden beast` number, since 6 + 7 + 8 + 12 + 609 + 0 + 24 + 0 = 666.

678126090240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5176534975 + ... + 5176535105.

Almost surely, 2^678126090240 is an apocalyptic number.

678126090240 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 678126090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240281462420).

678126090240 is an abundant number, since it is smaller than the sum of its proper divisors (1802436834600).

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

678126090240 is an equidigital number, since it uses as much as digits as its factorization.

678126090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 678126090240 in words is "six hundred seventy-eight billion, one hundred twenty-six million, ninety thousand, two hundred forty".