61631624642560 has 640 divisors, whose sum is σ = 173116544832000. Its totient is φ = 20628929249280.

The previous prime is 61631624642479. The next prime is 61631624642563. The reversal of 61631624642560 is 6524642613616.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 61631624642498 and 61631624642507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61631624642563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186198261595 + ... + 186198261925.

It is an arithmetic number, because the mean of its divisors is an integer number (270494601300).

Almost surely, 2^{61631624642560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61631624642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86558272416000).

61631624642560 is an abundant number, since it is smaller than the sum of its proper divisors (111484920189440).

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

61631624642560 is an frugal number, since it uses more digits than its factorization.

61631624642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 61631624642560 in words is "sixty-one trillion, six hundred thirty-one billion, six hundred twenty-four million, six hundred forty-two thousand, five hundred sixty".