63146989440 has 384 divisors, whose sum is σ = 239520153600. Its totient is φ = 15258710016.

The previous prime is 63146989439. The next prime is 63146989441. The reversal of 63146989440 is 4498964136.

It is a happy number.

63146989440 is a `hidden beast` number, since 63 + 1 + 4 + 69 + 89 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (63146989439) and next prime (63146989441).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63146989441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2504577 + ... + 2529663.

It is an arithmetic number, because the mean of its divisors is an integer number (623750400).

Almost surely, 2^63146989440 is an apocalyptic number.

63146989440 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 63146989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119760076800).

63146989440 is an abundant number, since it is smaller than the sum of its proper divisors (176373164160).

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

63146989440 is a wasteful number, since it uses less digits than its factorization.

63146989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25154 (or 25139 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 63146989440 in words is "sixty-three billion, one hundred forty-six million, nine hundred eighty-nine thousand, four hundred forty".