675395914752 has 1056 divisors, whose sum is σ = 2420587653120. Its totient is φ = 178999787520.

The previous prime is 675395914703. The next prime is 675395914757. The reversal of 675395914752 is 257419593576.

675395914752 is a `hidden beast` number, since 6 + 7 + 5 + 39 + 591 + 4 + 7 + 5 + 2 = 666.

Its product of digits (71442000) is a multiple of the sum of its prime divisors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 675395914752.

It is not an unprimeable number, because it can be changed into a prime (675395914757) 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, 1199637223 + ... + 1199637785.

Almost surely, 2^675395914752 is an apocalyptic number.

675395914752 is a gapful number since it is divisible by the number (62) 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 675395914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210293826560).

675395914752 is an abundant number, since it is smaller than the sum of its proper divisors (1745191738368).

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

675395914752 is a wasteful number, since it uses less digits than its factorization.

675395914752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 648 counting only the distinct ones).

The product of its digits is 71442000, while the sum is 63.

The spelling of 675395914752 in words is "six hundred seventy-five billion, three hundred ninety-five million, nine hundred fourteen thousand, seven hundred fifty-two".