63750408000 has 896 divisors, whose sum is σ = 236770200576. Its totient is φ = 15040512000.

The previous prime is 63750407977. The next prime is 63750408013. The reversal of 63750408000 is 80405736.

It is a super-2 number, since 2×63750408000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 618935949 + ... + 618936051.

It is an arithmetic number, because the mean of its divisors is an integer number (264252456).

Almost surely, 2^63750408000 is an apocalyptic number.

63750408000 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 63750408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385100288).

63750408000 is an abundant number, since it is smaller than the sum of its proper divisors (173019792576).

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

63750408000 is a wasteful number, since it uses less digits than its factorization.

63750408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 63750408000 in words is "sixty-three billion, seven hundred fifty million, four hundred eight thousand".