646769246464000 has 2304 divisors, whose sum is σ = 1996699880448000. Its totient is φ = 207644000256000.

The previous prime is 646769246463971. The next prime is 646769246464001. The reversal of 646769246464000 is 464642967646.

It is a super-2 number, since 2×646769246464000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (646769246464001) 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 191 ways as a sum of consecutive naturals, for example, 1270666495746 + ... + 1270666496254.

It is an arithmetic number, because the mean of its divisors is an integer number (866623212000).

Almost surely, 2^{646769246464000} 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 646769246464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998349940224000).

646769246464000 is an abundant number, since it is smaller than the sum of its proper divisors (1349930633984000).

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

646769246464000 is a wasteful number, since it uses less digits than its factorization.

646769246464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 64.

The spelling of 646769246464000 in words is "six hundred forty-six trillion, seven hundred sixty-nine billion, two hundred forty-six million, four hundred sixty-four thousand".