61630193313600 has 672 divisors, whose sum is σ = 208171172192256. Its totient is φ = 15955382476800.

The previous prime is 61630193313589. The next prime is 61630193313679. The reversal of 61630193313600 is 631339103616.

61630193313600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61630193313600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18089283097 + ... + 18089286503.

It is an arithmetic number, because the mean of its divisors is an integer number (309778530048).

Almost surely, 2^{61630193313600} is an apocalyptic number.

61630193313600 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 61630193313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104085586096128).

61630193313600 is an abundant number, since it is smaller than the sum of its proper divisors (146540978878656).

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

61630193313600 is a wasteful number, since it uses less digits than its factorization.

61630193313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 42.

The spelling of 61630193313600 in words is "sixty-one trillion, six hundred thirty billion, one hundred ninety-three million, three hundred thirteen thousand, six hundred".