676987027200 has 864 divisors, whose sum is σ = 2795721062400. Its totient is φ = 158810112000.

The previous prime is 676987027183. The next prime is 676987027201. The reversal of 676987027200 is 2720789676.

676987027200 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 (864).

It is a super-2 number, since 2×676987027200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676987027201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58919056 + ... + 58930544.

Almost surely, 2^676987027200 is an apocalyptic number.

676987027200 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 676987027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397860531200).

676987027200 is an abundant number, since it is smaller than the sum of its proper divisors (2118734035200).

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

676987027200 is a wasteful number, since it uses less digits than its factorization.

676987027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11541 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 676987027200 in words is "six hundred seventy-six billion, nine hundred eighty-seven million, twenty-seven thousand, two hundred".