63540288000 has 1600 divisors, whose sum is σ = 289188776448. Its totient is φ = 13536460800.

The previous prime is 63540287957. The next prime is 63540288013. The reversal of 63540288000 is 88204536.

It is a tau number, because it is divible by the number of its divisors (1600).

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

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 159 ways as a sum of consecutive naturals, for example, 616895949 + ... + 616896051.

Almost surely, 2^63540288000 is an apocalyptic number.

63540288000 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 63540288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144594388224).

63540288000 is an abundant number, since it is smaller than the sum of its proper divisors (225648488448).

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

63540288000 is a wasteful number, since it uses less digits than its factorization.

63540288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 63540288000 in words is "sixty-three billion, five hundred forty million, two hundred eighty-eight thousand".