64025374400 has 168 divisors, whose sum is σ = 169874116944. Its totient is φ = 23610470400.

The previous prime is 64025374373. The next prime is 64025374409. The reversal of 64025374400 is 447352046.

64025374400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64025374409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23357030 + ... + 23359770.

It is an arithmetic number, because the mean of its divisors is an integer number (1011155458).

Almost surely, 2^64025374400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64025374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84937058472).

64025374400 is an abundant number, since it is smaller than the sum of its proper divisors (105848742544).

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

64025374400 is a wasteful number, since it uses less digits than its factorization.

64025374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 64025374400 in words is "sixty-four billion, twenty-five million, three hundred seventy-four thousand, four hundred".