676166400 has 864 divisors, whose sum is σ = 3122577920. Its totient is φ = 139345920.

The previous prime is 676166399. The next prime is 676166401. The reversal of 676166400 is 4661676.

676166400 is a `hidden beast` number, since 6 + 7 + 6 + 1 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (676166399) and next prime (676166401).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (676166401) 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, 15724779 + ... + 15724821.

Almost surely, 2^676166400 is an apocalyptic number.

676166400 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 676166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561288960).

676166400 is an abundant number, since it is smaller than the sum of its proper divisors (2446411520).

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

676166400 is a wasteful number, since it uses less digits than its factorization.

676166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 676166400 is about 26003.1998031012. The cubic root of 676166400 is about 877.7103009724.

The spelling of 676166400 in words is "six hundred seventy-six million, one hundred sixty-six thousand, four hundred".