675138305880 has 512 divisors, whose sum is σ = 2364229036800. Its totient is φ = 171196416000.

The previous prime is 675138305879. The next prime is 675138305887. The reversal of 675138305880 is 88503831576.

675138305880 is a `hidden beast` number, since 6 + 7 + 51 + 3 + 8 + 3 + 0 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675138305887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 421697080 + ... + 421698680.

Almost surely, 2^675138305880 is an apocalyptic number.

675138305880 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 675138305880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182114518400).

675138305880 is an abundant number, since it is smaller than the sum of its proper divisors (1689090730920).

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

675138305880 is a wasteful number, since it uses less digits than its factorization.

675138305880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 675138305880 in words is "six hundred seventy-five billion, one hundred thirty-eight million, three hundred five thousand, eight hundred eighty".