64142290912 has 384 divisors, whose sum is σ = 168129561600. Its totient is φ = 23428694016.

The previous prime is 64142290897. The next prime is 64142290913. The reversal of 64142290912 is 21909224146.

It is a super-2 number, since 2×64142290912² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64142290913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164890014 + ... + 164890402.

It is an arithmetic number, because the mean of its divisors is an integer number (437837400).

Almost surely, 2^64142290912 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 64142290912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84064780800).

64142290912 is an abundant number, since it is smaller than the sum of its proper divisors (103987270688).

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

64142290912 is a wasteful number, since it uses less digits than its factorization.

64142290912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 64142290912 in words is "sixty-four billion, one hundred forty-two million, two hundred ninety thousand, nine hundred twelve".