675008640 has 320 divisors, whose sum is σ = 2499255000. Its totient is φ = 173408256.

The previous prime is 675008639. The next prime is 675008657. The reversal of 675008640 is 46800576.

It is a happy number.

675008640 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 0 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 574848576 + 100160064 = 23976^2 + 10008^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 675008595 and 675008604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503136 + ... + 1503584.

Almost surely, 2^675008640 is an apocalyptic number.

675008640 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 675008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249627500).

675008640 is an abundant number, since it is smaller than the sum of its proper divisors (1824246360).

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

675008640 is a wasteful number, since it uses less digits than its factorization.

675008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 675008640 is about 25980.9283898786. The cubic root of 675008640 is about 877.2090641906.

The spelling of 675008640 in words is "six hundred seventy-five million, eight thousand, six hundred forty".