64125600573342 has 96 divisors (see below), whose sum is σ = 161246544221952. Its totient is φ = 16641774864000.

The previous prime is 64125600573311. The next prime is 64125600573343. The reversal of 64125600573342 is 24337500652146.

It is a happy number.

It is a super-2 number, since 2×64125600573342² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64125600573291 and 64125600573300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64125600573343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563242 + ... + 11338802.

It is an arithmetic number, because the mean of its divisors is an integer number (1679651502312).

Almost surely, 2^{64125600573342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64125600573342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80623272110976).

64125600573342 is an abundant number, since it is smaller than the sum of its proper divisors (97120943648610).

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

64125600573342 is a wasteful number, since it uses less digits than its factorization.

64125600573342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10776766 (or 10776755 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 64125600573342 in words is "sixty-four trillion, one hundred twenty-five billion, six hundred million, five hundred seventy-three thousand, three hundred forty-two".