646700772096 has 576 divisors, whose sum is σ = 2108755555200. Its totient is φ = 194580578304.

The previous prime is 646700772073. The next prime is 646700772097. The reversal of 646700772096 is 690277007646.

It is a happy number.

646700772096 is a `hidden beast` number, since 6 + 467 + 0 + 0 + 77 + 20 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (646700772097) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 589517020 + ... + 589518116.

It is an arithmetic number, because the mean of its divisors is an integer number (3661033950).

Almost surely, 2^646700772096 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 646700772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054377777600).

646700772096 is an abundant number, since it is smaller than the sum of its proper divisors (1462054783104).

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

646700772096 is a wasteful number, since it uses less digits than its factorization.

646700772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 646700772096 in words is "six hundred forty-six billion, seven hundred million, seven hundred seventy-two thousand, ninety-six".