6651563624160 has 1152 divisors, whose sum is σ = 27833581117440. Its totient is φ = 1302621585408.

The previous prime is 6651563624137. The next prime is 6651563624161. The reversal of 6651563624160 is 614263651566.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6651563624161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 704684721 + ... + 704694159.

It is an arithmetic number, because the mean of its divisors is an integer number (24161094720).

Almost surely, 2^{6651563624160} is an apocalyptic number.

6651563624160 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 6651563624160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13916790558720).

6651563624160 is an abundant number, since it is smaller than the sum of its proper divisors (21182017493280).

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

6651563624160 is a wasteful number, since it uses less digits than its factorization.

6651563624160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9580 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 6651563624160 in words is "six trillion, six hundred fifty-one billion, five hundred sixty-three million, six hundred twenty-four thousand, one hundred sixty".