63090248008320 has 896 divisors, whose sum is σ = 244893893529600. Its totient is φ = 15442882191360.

The previous prime is 63090248008303. The next prime is 63090248008343. The reversal of 63090248008320 is 2380084209036.

63090248008320 is a `hidden beast` number, since 6 + 3 + 0 + 90 + 2 + 480 + 0 + 83 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1085656065 + ... + 1085714175.

It is an arithmetic number, because the mean of its divisors is an integer number (273319077600).

Almost surely, 2^{63090248008320} is an apocalyptic number.

63090248008320 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 63090248008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122446946764800).

63090248008320 is an abundant number, since it is smaller than the sum of its proper divisors (181803645521280).

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

63090248008320 is a wasteful number, since it uses less digits than its factorization.

63090248008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58340 (or 58313 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 63090248008320 in words is "sixty-three trillion, ninety billion, two hundred forty-eight million, eight thousand, three hundred twenty".