675127707770880 has 3024 divisors, whose sum is σ = 3057468239314944. Its totient is φ = 142427136983040.

The previous prime is 675127707770839. The next prime is 675127707770899. The reversal of 675127707770880 is 88077707721576.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a junction number, because it is equal to n+sod(n) for n = 675127707770799 and 675127707770808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 82423107585 + ... + 82423115775.

It is an arithmetic number, because the mean of its divisors is an integer number (1011067539456).

Almost surely, 2^{675127707770880} is an apocalyptic number.

675127707770880 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 675127707770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528734119657472).

675127707770880 is an abundant number, since it is smaller than the sum of its proper divisors (2382340531544064).

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

675127707770880 is an equidigital number, since it uses as much as digits as its factorization.

675127707770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 451772160, while the sum is 72.

The spelling of 675127707770880 in words is "six hundred seventy-five trillion, one hundred twenty-seven billion, seven hundred seven million, seven hundred seventy thousand, eight hundred eighty".