678027715200 has 1536 divisors, whose sum is σ = 2836875571200. Its totient is φ = 156686745600.

The previous prime is 678027715177. The next prime is 678027715201. The reversal of 678027715200 is 2517720876.

678027715200 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 2×678027715200² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (678027715201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1920758224 + ... + 1920758576.

It is an arithmetic number, because the mean of its divisors is an integer number (1846924200).

Almost surely, 2^678027715200 is an apocalyptic number.

678027715200 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 678027715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418437785600).

678027715200 is an abundant number, since it is smaller than the sum of its proper divisors (2158847856000).

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

678027715200 is a wasteful number, since it uses less digits than its factorization.

678027715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 678027715200 in words is "six hundred seventy-eight billion, twenty-seven million, seven hundred fifteen thousand, two hundred".