63121610664 has 240 divisors, whose sum is σ = 208740739680. Its totient is φ = 17764971840.

The previous prime is 63121610593. The next prime is 63121610681. The reversal of 63121610664 is 46601612136.

It is a happy number.

63121610664 is a `hidden beast` number, since 6 + 31 + 2 + 1 + 610 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2112549 + ... + 2142219.

It is an arithmetic number, because the mean of its divisors is an integer number (869753082).

Almost surely, 2^63121610664 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 63121610664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104370369840).

63121610664 is an abundant number, since it is smaller than the sum of its proper divisors (145619129016).

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

63121610664 is a wasteful number, since it uses less digits than its factorization.

63121610664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29770 (or 29750 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 63121610664 in words is "sixty-three billion, one hundred twenty-one million, six hundred ten thousand, six hundred sixty-four".