675616499712 has 576 divisors, whose sum is σ = 2466499351680. Its totient is φ = 173054361600.

The previous prime is 675616499707. The next prime is 675616499759. The reversal of 675616499712 is 217994616576.

675616499712 is a `hidden beast` number, since 6 + 7 + 5 + 616 + 4 + 9 + 9 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 675616499712.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103603012 + ... + 103609532.

It is an arithmetic number, because the mean of its divisors is an integer number (4282116930).

Almost surely, 2^675616499712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675616499712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233249675840).

675616499712 is an abundant number, since it is smaller than the sum of its proper divisors (1790882851968).

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

675616499712 is a wasteful number, since it uses less digits than its factorization.

675616499712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640 (or 6617 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 675616499712 in words is "six hundred seventy-five billion, six hundred sixteen million, four hundred ninety-nine thousand, seven hundred twelve".