63212516640 has 2160 divisors, whose sum is σ = 305339569920. Its totient is φ = 12227604480.

The previous prime is 63212516617. The next prime is 63212516683. The reversal of 63212516640 is 4661521236.

63212516640 is a `hidden beast` number, since 6 + 3 + 2 + 1 + 2 + 5 + 1 + 6 + 640 = 666.

63212516640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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 = 63212516595 and 63212516604.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2039113425 + ... + 2039113455.

It is an arithmetic number, because the mean of its divisors is an integer number (141360912).

Almost surely, 2^63212516640 is an apocalyptic number.

63212516640 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 63212516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152669784960).

63212516640 is an abundant number, since it is smaller than the sum of its proper divisors (242127053280).

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

63212516640 is a wasteful number, since it uses less digits than its factorization.

63212516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 63212516640 in words is "sixty-three billion, two hundred twelve million, five hundred sixteen thousand, six hundred forty".