63012960648 has 384 divisors, whose sum is σ = 206886700800. Its totient is φ = 17099980800.

The previous prime is 63012960641. The next prime is 63012960649. The reversal of 63012960648 is 84606921036.

63012960648 is a `hidden beast` number, since 6 + 30 + 1 + 2 + 9 + 606 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (63012960641) 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, 27721240 + ... + 27723512.

It is an arithmetic number, because the mean of its divisors is an integer number (538767450).

Almost surely, 2^63012960648 is an apocalyptic number.

63012960648 is a gapful number since it is divisible by the number (68) 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 63012960648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103443350400).

63012960648 is an abundant number, since it is smaller than the sum of its proper divisors (143873740152).

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

63012960648 is a wasteful number, since it uses less digits than its factorization.

63012960648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 63012960648 in words is "sixty-three billion, twelve million, nine hundred sixty thousand, six hundred forty-eight".