678053032200 has 72 divisors (see below), whose sum is σ = 2277128105850. Its totient is φ = 180814141440.

The previous prime is 678053032193. The next prime is 678053032231. The reversal of 678053032200 is 2230350876.

678053032200 is a `hidden beast` number, since 6 + 78 + 0 + 530 + 32 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 583839640836 + 94213391364 = 764094^2 + 306942^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×678053032200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 188346265 + ... + 188349864.

Almost surely, 2^678053032200 is an apocalyptic number.

678053032200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

678053032200 is an abundant number, since it is smaller than the sum of its proper divisors (1599075073650).

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

678053032200 is a wasteful number, since it uses less digits than its factorization.

678053032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376696151 (or 376696139 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 678053032200 in words is "six hundred seventy-eight billion, fifty-three million, thirty-two thousand, two hundred".