61624633642616 has 256 divisors, whose sum is σ = 137408237568000. Its totient is φ = 25608930347520.

The previous prime is 61624633642603. The next prime is 61624633642619.

61624633642616 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61624633642616² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61624633642619) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4885796726 + ... + 4885809338.

It is an arithmetic number, because the mean of its divisors is an integer number (536750928000).

Almost surely, 2^{61624633642616} 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 61624633642616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68704118784000).

61624633642616 is an abundant number, since it is smaller than the sum of its proper divisors (75783603925384).

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

61624633642616 is a wasteful number, since it uses less digits than its factorization.

61624633642616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13558 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 56.

The spelling of 61624633642616 in words is "sixty-one trillion, six hundred twenty-four billion, six hundred thirty-three million, six hundred forty-two thousand, six hundred sixteen".