6635586242880 has 896 divisors, whose sum is σ = 28089080524800. Its totient is φ = 1442522898432.

The previous prime is 6635586242821. The next prime is 6635586243017. The reversal of 6635586242880 is 882426855366.

It is a happy number.

6635586242880 is a `hidden beast` number, since 6 + 6 + 3 + 5 + 586 + 2 + 42 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117484407 + ... + 117540873.

Almost surely, 2^{6635586242880} is an apocalyptic number.

6635586242880 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 6635586242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044540262400).

6635586242880 is an abundant number, since it is smaller than the sum of its proper divisors (21453494281920).

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

6635586242880 is a wasteful number, since it uses less digits than its factorization.

6635586242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56596 (or 56580 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 6635586242880 in words is "six trillion, six hundred thirty-five billion, five hundred eighty-six million, two hundred forty-two thousand, eight hundred eighty".