675905106240 has 1008 divisors, whose sum is σ = 3065870545920. Its totient is φ = 135095869440.

The previous prime is 675905106211. The next prime is 675905106251. The reversal of 675905106240 is 42601509576.

675905106240 is a `hidden beast` number, since 6 + 7 + 5 + 9 + 0 + 5 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34846945 + ... + 34866335.

It is an arithmetic number, because the mean of its divisors is an integer number (3041538240).

Almost surely, 2^675905106240 is an apocalyptic number.

675905106240 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 675905106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532935272960).

675905106240 is an abundant number, since it is smaller than the sum of its proper divisors (2389965439680).

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

675905106240 is a wasteful number, since it uses less digits than its factorization.

675905106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19460 (or 19440 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 675905106240 in words is "six hundred seventy-five billion, nine hundred five million, one hundred six thousand, two hundred forty".