63661643430336 has 672 divisors, whose sum is σ = 226161074280960. Its totient is φ = 17495402803200.

The previous prime is 63661643430331. The next prime is 63661643430347. The reversal of 63661643430336 is 63303434616636.

63661643430336 is a `hidden beast` number, since 63 + 6 + 61 + 64 + 3 + 430 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63661643430331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246351051 + ... + 246609333.

It is an arithmetic number, because the mean of its divisors is an integer number (336549217680).

Almost surely, 2^{63661643430336} 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 63661643430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113080537140480).

63661643430336 is an abundant number, since it is smaller than the sum of its proper divisors (162499430850624).

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

63661643430336 is a wasteful number, since it uses less digits than its factorization.

63661643430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258430 (or 258407 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 54.

The spelling of 63661643430336 in words is "sixty-three trillion, six hundred sixty-one billion, six hundred forty-three million, four hundred thirty thousand, three hundred thirty-six".