64303142436 has 240 divisors, whose sum is σ = 185798733120. Its totient is φ = 19271105280.

The previous prime is 64303142383. The next prime is 64303142443. The reversal of 64303142436 is 63424130346.

64303142436 is a `hidden beast` number, since 643 + 0 + 3 + 1 + 4 + 2 + 4 + 3 + 6 = 666.

It is a super-3 number, since 3×64303142436³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64303142436.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27490555 + ... + 27492893.

It is an arithmetic number, because the mean of its divisors is an integer number (774161388).

Almost surely, 2^64303142436 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 64303142436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92899366560).

64303142436 is an abundant number, since it is smaller than the sum of its proper divisors (121495590684).

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

64303142436 is a wasteful number, since it uses less digits than its factorization.

64303142436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 64303142436 in words is "sixty-four billion, three hundred three million, one hundred forty-two thousand, four hundred thirty-six".