64375141353600 has 4608 divisors, whose sum is σ = 300758350233600. Its totient is φ = 11771943321600.

The previous prime is 64375141353517. The next prime is 64375141353623. The reversal of 64375141353600 is 635314157346.

64375141353600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64375141353600.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 333549955104 + ... + 333549955296.

It is an arithmetic number, because the mean of its divisors is an integer number (65268739200).

Almost surely, 2^{64375141353600} is an apocalyptic number.

64375141353600 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 64375141353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150379175116800).

64375141353600 is an abundant number, since it is smaller than the sum of its proper divisors (236383208880000).

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

64375141353600 is a wasteful number, since it uses less digits than its factorization.

64375141353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 64375141353600 in words is "sixty-four trillion, three hundred seventy-five billion, one hundred forty-one million, three hundred fifty-three thousand, six hundred".