676512000000 has 1176 divisors, whose sum is σ = 2622526001550. Its totient is φ = 174182400000.

The previous prime is 676511999941. The next prime is 676512000001. The reversal of 676512000000 is 215676.

676512000000 is a `hidden beast` number, since 6 + 7 + 651 + 2 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 352322970624 + 324189029376 = 593568^2 + 569376^2 .

It is a super-2 number, since 2×676512000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (676512000001) by changing a digit.

It is a polite number, since it can be written in 97 ways as a sum of consecutive naturals, for example, 23327999986 + ... + 23328000014.

Almost surely, 2^676512000000 is an apocalyptic number.

676512000000 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 676512000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311263000775).

676512000000 is an abundant number, since it is smaller than the sum of its proper divisors (1946014001550).

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

676512000000 is an frugal number, since it uses more digits than its factorization.

676512000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 676512000000 its reverse (215676), we get a palindrome (676512215676).

The spelling of 676512000000 in words is "six hundred seventy-six billion, five hundred twelve million", and thus it is an aban number.