675279360 has 480 divisors, whose sum is σ = 2757680640. Its totient is φ = 149520384.

The previous prime is 675279347. The next prime is 675279383. The reversal of 675279360 is 63972576.

675279360 is a `hidden beast` number, since 67 + 527 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8547801 + ... + 8547879.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^675279360 is an apocalyptic number.

675279360 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 675279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378840320).

675279360 is an abundant number, since it is smaller than the sum of its proper divisors (2082401280).

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

675279360 is a wasteful number, since it uses less digits than its factorization.

675279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 675279360 is about 25986.1378430886. The cubic root of 675279360 is about 877.3263201204.

The spelling of 675279360 in words is "six hundred seventy-five million, two hundred seventy-nine thousand, three hundred sixty".