676254196800 has 1512 divisors, whose sum is σ = 3042025034048. Its totient is φ = 138748723200.

The previous prime is 676254196781. The next prime is 676254196817. The reversal of 676254196800 is 8691452676.

676254196800 is a `hidden beast` number, since 6 + 7 + 6 + 2 + 541 + 96 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×676254196800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2202782247 + ... + 2202782553.

Almost surely, 2^676254196800 is an apocalyptic number.

676254196800 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 676254196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521012517024).

676254196800 is an abundant number, since it is smaller than the sum of its proper divisors (2365770837248).

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

676254196800 is a wasteful number, since it uses less digits than its factorization.

676254196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 676254196800 in words is "six hundred seventy-six billion, two hundred fifty-four million, one hundred ninety-six thousand, eight hundred".