64757325906 has 256 divisors, whose sum is σ = 180814233600. Its totient is φ = 16725989376.

The previous prime is 64757325901. The next prime is 64757325911. The reversal of 64757325906 is 60952375746.

64757325906 is a `hidden beast` number, since 6 + 47 + 5 + 7 + 3 + 2 + 590 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (64757325901) and next prime (64757325911).

It is a super-2 number, since 2×64757325906² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64757325901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49095115 + ... + 49096433.

It is an arithmetic number, because the mean of its divisors is an integer number (706305600).

Almost surely, 2^64757325906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64757325906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90407116800).

64757325906 is an abundant number, since it is smaller than the sum of its proper divisors (116056907694).

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

64757325906 is a wasteful number, since it uses less digits than its factorization.

64757325906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 64757325906 in words is "sixty-four billion, seven hundred fifty-seven million, three hundred twenty-five thousand, nine hundred six".