63834107040 has 576 divisors, whose sum is σ = 245070064512. Its totient is φ = 14996275200.

The previous prime is 63834106967. The next prime is 63834107047. The reversal of 63834107040 is 4070143836.

63834107040 is a `hidden beast` number, since 63 + 83 + 410 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63834106986 and 63834107004.

It is not an unprimeable number, because it can be changed into a prime (63834107047) 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 95 ways as a sum of consecutive naturals, for example, 147422664 + ... + 147423096.

It is an arithmetic number, because the mean of its divisors is an integer number (425468862).

Almost surely, 2^63834107040 is an apocalyptic number.

63834107040 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 63834107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122535032256).

63834107040 is an abundant number, since it is smaller than the sum of its proper divisors (181235957472).

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

63834107040 is a wasteful number, since it uses less digits than its factorization.

63834107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 63834107040 in words is "sixty-three billion, eight hundred thirty-four million, one hundred seven thousand, forty".