64170006400 has 96 divisors (see below), whose sum is σ = 158591501280. Its totient is φ = 25656422400.

The previous prime is 64170006377. The next prime is 64170006427. The reversal of 64170006400 is 460007146.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12416617 + ... + 12421783.

It is an arithmetic number, because the mean of its divisors is an integer number (1651994805).

Almost surely, 2^64170006400 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 64170006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79295750640).

64170006400 is an abundant number, since it is smaller than the sum of its proper divisors (94421494880).

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

64170006400 is a wasteful number, since it uses less digits than its factorization.

64170006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 64170006400 in words is "sixty-four billion, one hundred seventy million, six thousand, four hundred".