63345784320 has 1120 divisors, whose sum is σ = 281019638592. Its totient is φ = 13329432576.

The previous prime is 63345784301. The next prime is 63345784321. The reversal of 63345784320 is 2348754336.

63345784320 is a `hidden beast` number, since 6 + 3 + 34 + 578 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×63345784320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63345784321) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 169827654 + ... + 169828026.

Almost surely, 2^63345784320 is an apocalyptic number.

63345784320 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 63345784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140509819296).

63345784320 is an abundant number, since it is smaller than the sum of its proper divisors (217673854272).

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

63345784320 is an equidigital number, since it uses as much as digits as its factorization.

63345784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 403 counting only the distinct ones).

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

The spelling of 63345784320 in words is "sixty-three billion, three hundred forty-five million, seven hundred eighty-four thousand, three hundred twenty".