675277318235520 has 8192 divisors, whose sum is σ = 3537528422400000. Its totient is φ = 117105514905600.

The previous prime is 675277318235497. The next prime is 675277318235563. The reversal of 675277318235520 is 25532813772576.

675277318235520 is a `hidden beast` number, since 6 + 7 + 5 + 2 + 7 + 73 + 1 + 8 + 2 + 3 + 552 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 804859735261 + ... + 804859736099.

It is an arithmetic number, because the mean of its divisors is an integer number (431827200000).

Almost surely, 2^{675277318235520} is an apocalyptic number.

675277318235520 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 675277318235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768764211200000).

675277318235520 is an abundant number, since it is smaller than the sum of its proper divisors (2862251104164480).

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

675277318235520 is a wasteful number, since it uses less digits than its factorization.

675277318235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 675277318235520 in words is "six hundred seventy-five trillion, two hundred seventy-seven billion, three hundred eighteen million, two hundred thirty-five thousand, five hundred twenty".