63785904000 has 1024 divisors, whose sum is σ = 275875891200. Its totient is φ = 12651724800.

The previous prime is 63785903981. The next prime is 63785904001. The reversal of 63785904000 is 40958736.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63785904001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74255571 + ... + 74256429.

It is an arithmetic number, because the mean of its divisors is an integer number (269410050).

Almost surely, 2^63785904000 is an apocalyptic number.

63785904000 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 63785904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137937945600).

63785904000 is an abundant number, since it is smaller than the sum of its proper divisors (212089987200).

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

63785904000 is a wasteful number, since it uses less digits than its factorization.

63785904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 63785904000 in words is "sixty-three billion, seven hundred eighty-five million, nine hundred four thousand".