61632015586560 has 216 divisors, whose sum is σ = 213286114379520. Its totient is φ = 16431677239296.

The previous prime is 61632015586549. The next prime is 61632015586597. The reversal of 61632015586560 is 6568551023616.

61632015586560 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 2 + 0 + 1 + 5 + 586 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61632015586497 and 61632015586506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53330377 + ... + 54473783.

It is an arithmetic number, because the mean of its divisors is an integer number (987435714720).

Almost surely, 2^{61632015586560} is an apocalyptic number.

61632015586560 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 61632015586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106643057189760).

61632015586560 is an abundant number, since it is smaller than the sum of its proper divisors (151654098792960).

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

61632015586560 is a wasteful number, since it uses less digits than its factorization.

61632015586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148113 (or 1148096 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 61632015586560 in words is "sixty-one trillion, six hundred thirty-two billion, fifteen million, five hundred eighty-six thousand, five hundred sixty".