675067448160 has 384 divisors, whose sum is σ = 2703441484800. Its totient is φ = 154119905280.

The previous prime is 675067448149. The next prime is 675067448171. The reversal of 675067448160 is 61844760576.

675067448160 is a `hidden beast` number, since 6 + 7 + 506 + 74 + 4 + 8 + 1 + 60 = 666.

675067448160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (675067448149) and next prime (675067448171).

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

It is a junction number, because it is equal to n+sod(n) for n = 675067448097 and 675067448106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26628771 + ... + 26654109.

It is an arithmetic number, because the mean of its divisors is an integer number (7040212200).

Almost surely, 2^675067448160 is an apocalyptic number.

675067448160 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 675067448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351720742400).

675067448160 is an abundant number, since it is smaller than the sum of its proper divisors (2028374036640).

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

675067448160 is a wasteful number, since it uses less digits than its factorization.

675067448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26251 (or 26237 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 675067448160 in words is "six hundred seventy-five billion, sixty-seven million, four hundred forty-eight thousand, one hundred sixty".