675681896448000 has 3360 divisors, whose sum is σ = 2813362968579072. Its totient is φ = 160813154304000.

The previous prime is 675681896447977. The next prime is 675681896448017. The reversal of 675681896448000 is 844698186576.

675681896448000 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 8 + 1 + 89 + 64 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 675681896448000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 601675775439 + ... + 601675776561.

Almost surely, 2^{675681896448000} is an apocalyptic number.

675681896448000 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 675681896448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406681484289536).

675681896448000 is an abundant number, since it is smaller than the sum of its proper divisors (2137681072131072).

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

675681896448000 is an equidigital number, since it uses as much as digits as its factorization.

675681896448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 675681896448000 in words is "six hundred seventy-five trillion, six hundred eighty-one billion, eight hundred ninety-six million, four hundred forty-eight thousand".