675957510144 has 312 divisors, whose sum is σ = 2238187473600. Its totient is φ = 192548634624.

The previous prime is 675957510127. The next prime is 675957510157. The reversal of 675957510144 is 441015759576.

675957510144 is a `hidden beast` number, since 6 + 7 + 59 + 575 + 1 + 0 + 14 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89538882 + ... + 89546430.

It is an arithmetic number, because the mean of its divisors is an integer number (7173677800).

Almost surely, 2^675957510144 is an apocalyptic number.

675957510144 is a gapful number since it is divisible by the number (64) 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 675957510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119093736800).

675957510144 is an abundant number, since it is smaller than the sum of its proper divisors (1562229963456).

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

675957510144 is a wasteful number, since it uses less digits than its factorization.

675957510144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 675957510144 in words is "six hundred seventy-five billion, nine hundred fifty-seven million, five hundred ten thousand, one hundred forty-four".