42063200640 has 768 divisors, whose sum is σ = 164083320000. Its totient is φ = 10147921920.

The previous prime is 42063200629. The next prime is 42063200701. The reversal of 42063200640 is 4600236024.

42063200640 is a `hidden beast` number, since 4 + 20 + 632 + 0 + 0 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282303286 + ... + 282303434.

Almost surely, 2^42063200640 is an apocalyptic number.

42063200640 is a gapful number since it is divisible by the number (40) 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 42063200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82041660000).

42063200640 is an abundant number, since it is smaller than the sum of its proper divisors (122020119360).

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

42063200640 is a wasteful number, since it uses less digits than its factorization.

42063200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42063200640 its reverse (4600236024), we get a palindrome (46663436664).

The spelling of 42063200640 in words is "forty-two billion, sixty-three million, two hundred thousand, six hundred forty".