63728640000 has 560 divisors, whose sum is σ = 236453873040. Its totient is φ = 16957440000.

The previous prime is 63728639969. The next prime is 63728640007. The reversal of 63728640000 is 4682736.

63728640000 is a `hidden beast` number, since 6 + 3 + 7 + 2 + 8 + 640 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×63728640000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63728640007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138239770 + ... + 138240230.

It is an arithmetic number, because the mean of its divisors is an integer number (422239059).

Almost surely, 2^63728640000 is an apocalyptic number.

63728640000 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 63728640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118226936520).

63728640000 is an abundant number, since it is smaller than the sum of its proper divisors (172725233040).

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

63728640000 is an frugal number, since it uses more digits than its factorization.

63728640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 63728640000 in words is "sixty-three billion, seven hundred twenty-eight million, six hundred forty thousand".