63220457664 has 224 divisors, whose sum is σ = 228746954240. Its totient is φ = 16673485824.

The previous prime is 63220457639. The next prime is 63220457717. The reversal of 63220457664 is 46675402236.

63220457664 is a `hidden beast` number, since 632 + 2 + 0 + 4 + 5 + 7 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43774 + ... + 358269.

It is an arithmetic number, because the mean of its divisors is an integer number (1021191760).

Almost surely, 2^63220457664 is an apocalyptic number.

63220457664 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 63220457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114373477120).

63220457664 is an abundant number, since it is smaller than the sum of its proper divisors (165526496576).

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

63220457664 is a wasteful number, since it uses less digits than its factorization.

63220457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402084 (or 402068 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 63220457664 in words is "sixty-three billion, two hundred twenty million, four hundred fifty-seven thousand, six hundred sixty-four".