646696350720 has 1056 divisors, whose sum is σ = 2717949611520. Its totient is φ = 138974330880.

The previous prime is 646696350709. The next prime is 646696350749. The reversal of 646696350720 is 27053696646.

646696350720 is a `hidden beast` number, since 6 + 46 + 6 + 96 + 3 + 507 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452550966 + ... + 452552394.

It is an arithmetic number, because the mean of its divisors is an integer number (2573815920).

Almost surely, 2^646696350720 is an apocalyptic number.

646696350720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646696350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358974805760).

646696350720 is an abundant number, since it is smaller than the sum of its proper divisors (2071253260800).

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

646696350720 is a wasteful number, since it uses less digits than its factorization.

646696350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 646696350720 in words is "six hundred forty-six billion, six hundred ninety-six million, three hundred fifty thousand, seven hundred twenty".