675897505291008 has 8640 divisors, whose sum is σ = 3065823555379200. Its totient is φ = 146079114854400.

The previous prime is 675897505290971. The next prime is 675897505291069. The reversal of 675897505291008 is 800192505798576.

675897505291008 is a `hidden beast` number, since 6 + 7 + 5 + 8 + 9 + 7 + 505 + 2 + 9 + 100 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 6968015518416 + ... + 6968015518512.

It is an arithmetic number, because the mean of its divisors is an integer number (354840689280).

Almost surely, 2^{675897505291008} is an apocalyptic number.

675897505291008 is a gapful number since it is divisible by the number (68) 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 675897505291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532911777689600).

675897505291008 is an abundant number, since it is smaller than the sum of its proper divisors (2389926050088192).

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

675897505291008 is a wasteful number, since it uses less digits than its factorization.

675897505291008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 72.

The spelling of 675897505291008 in words is "six hundred seventy-five trillion, eight hundred ninety-seven billion, five hundred five million, two hundred ninety-one thousand, eight".