675162583692480 has 1344 divisors, whose sum is σ = 2724176895552000. Its totient is φ = 156907570839552.

The previous prime is 675162583692463. The next prime is 675162583692521. The reversal of 675162583692480 is 84296385261576.

675162583692480 is a `hidden beast` number, since 6 + 7 + 5 + 1 + 6 + 2 + 5 + 83 + 69 + 2 + 480 = 666.

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 = 675162583692399 and 675162583692408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8128669191 + ... + 8128752249.

It is an arithmetic number, because the mean of its divisors is an integer number (2026917333000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅675162583692480 = 1350325167384960, but 3⋅675162583692480 = 2025487751077440 is not.

Almost surely, 2^{675162583692480} is an apocalyptic number.

675162583692480 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 675162583692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362088447776000).

675162583692480 is an abundant number, since it is smaller than the sum of its proper divisors (2049014311859520).

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

675162583692480 is a wasteful number, since it uses less digits than its factorization.

675162583692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83423 (or 83394 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 675162583692480 in words is "six hundred seventy-five trillion, one hundred sixty-two billion, five hundred eighty-three million, six hundred ninety-two thousand, four hundred eighty".