646024079232 has 384 divisors, whose sum is σ = 2239709472000. Its totient is φ = 174604419072.

The previous prime is 646024079209. The next prime is 646024079249. The reversal of 646024079232 is 232970420646.

646024079232 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 2 + 407 + 9 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×646024079232⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117820363 + ... + 117825845.

It is an arithmetic number, because the mean of its divisors is an integer number (5832576750).

Almost surely, 2^646024079232 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 646024079232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119854736000).

646024079232 is an abundant number, since it is smaller than the sum of its proper divisors (1593685392768).

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

646024079232 is a wasteful number, since it uses less digits than its factorization.

646024079232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 646024079232 its reverse (232970420646), we get a palindrome (878994499878).

The spelling of 646024079232 in words is "six hundred forty-six billion, twenty-four million, seventy-nine thousand, two hundred thirty-two".