63930461760 has 672 divisors, whose sum is σ = 256900460544. Its totient is φ = 14992128000.

The previous prime is 63930461753. The next prime is 63930461761. The reversal of 63930461760 is 6716403936.

63930461760 is a `hidden beast` number, since 639 + 3 + 0 + 4 + 6 + 1 + 7 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (63930461761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26514955 + ... + 26517365.

It is an arithmetic number, because the mean of its divisors is an integer number (382292352).

Almost surely, 2^63930461760 is an apocalyptic number.

63930461760 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 63930461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128450230272).

63930461760 is an abundant number, since it is smaller than the sum of its proper divisors (192969998784).

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

63930461760 is a wasteful number, since it uses less digits than its factorization.

63930461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 63930461760 in words is "sixty-three billion, nine hundred thirty million, four hundred sixty-one thousand, seven hundred sixty".