675315648 has 252 divisors, whose sum is σ = 2290187952. Its totient is φ = 189665280.

The previous prime is 675315631. The next prime is 675315653. The reversal of 675315648 is 846513576.

675315648 is a `hidden beast` number, since 67 + 531 + 56 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×675315648³ (a number of 27 digits) contains 333 as substring.

Its product of digits (604800) is a multiple of the sum of its prime divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2003736 + ... + 2004072.

Almost surely, 2^675315648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145093976).

675315648 is an abundant number, since it is smaller than the sum of its proper divisors (1614872304).

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

675315648 is a wasteful number, since it uses less digits than its factorization.

675315648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 675315648 is about 25986.8360521245. The cubic root of 675315648 is about 877.3420350226.

The spelling of 675315648 in words is "six hundred seventy-five million, three hundred fifteen thousand, six hundred forty-eight".