63957308561664 has 1152 divisors, whose sum is σ = 209539171968000. Its totient is φ = 17292271288320.

The previous prime is 63957308561633. The next prime is 63957308561677. The reversal of 63957308561664 is 46616580375936.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57671152342 + ... + 57671153450.

Almost surely, 2^{63957308561664} is an apocalyptic number.

63957308561664 is a gapful number since it is divisible by the number (64) 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 63957308561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104769585984000).

63957308561664 is an abundant number, since it is smaller than the sum of its proper divisors (145581863406336).

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

63957308561664 is a wasteful number, since it uses less digits than its factorization.

63957308561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 69.

The spelling of 63957308561664 in words is "sixty-three trillion, nine hundred fifty-seven billion, three hundred eight million, five hundred sixty-one thousand, six hundred sixty-four".