675793952064 has 672 divisors, whose sum is σ = 2526223365120. Its totient is φ = 173384893440.

The previous prime is 675793952063. The next prime is 675793952087. The reversal of 675793952064 is 460259397576.

675793952064 is a `hidden beast` number, since 6 + 7 + 5 + 79 + 39 + 520 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 675793951992 and 675793952010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675793952063) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 121477347 + ... + 121482909.

It is an arithmetic number, because the mean of its divisors is an integer number (3759260960).

Almost surely, 2^675793952064 is an apocalyptic number.

675793952064 is a gapful number since it is divisible by the number (64) 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 675793952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263111682560).

675793952064 is an abundant number, since it is smaller than the sum of its proper divisors (1850429413056).

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

675793952064 is a wasteful number, since it uses less digits than its factorization.

675793952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 675793952064 in words is "six hundred seventy-five billion, seven hundred ninety-three million, nine hundred fifty-two thousand, sixty-four".