63728555040 has 288 divisors, whose sum is σ = 225088561152. Its totient is φ = 16402176000.

The previous prime is 63728554999. The next prime is 63728555047. The reversal of 63728555040 is 4055582736.

63728555040 is a `hidden beast` number, since 6 + 37 + 28 + 5 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×63728555040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (63728555047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18791745 + ... + 18795135.

It is an arithmetic number, because the mean of its divisors is an integer number (781557504).

Almost surely, 2^63728555040 is an apocalyptic number.

63728555040 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 63728555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112544280576).

63728555040 is an abundant number, since it is smaller than the sum of its proper divisors (161360006112).

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

63728555040 is a wasteful number, since it uses less digits than its factorization.

63728555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 63728555040 in words is "sixty-three billion, seven hundred twenty-eight million, five hundred fifty-five thousand, forty".