63021680640 has 1152 divisors, whose sum is σ = 251848396800. Its totient is φ = 15049359360.

The previous prime is 63021680591. The next prime is 63021680677. The reversal of 63021680640 is 4608612036.

63021680640 is a `hidden beast` number, since 6 + 3 + 0 + 2 + 1 + 6 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 63021680595 and 63021680604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1465620459 + ... + 1465620501.

It is an arithmetic number, because the mean of its divisors is an integer number (218618400).

Almost surely, 2^63021680640 is an apocalyptic number.

63021680640 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 63021680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125924198400).

63021680640 is an abundant number, since it is smaller than the sum of its proper divisors (188826716160).

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

63021680640 is a wasteful number, since it uses less digits than its factorization.

63021680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 63021680640 in words is "sixty-three billion, twenty-one million, six hundred eighty thousand, six hundred forty".