61303758600 has 384 divisors, whose sum is σ = 225699840000. Its totient is φ = 13469414400.

The previous prime is 61303758563. The next prime is 61303758601. The reversal of 61303758600 is 685730316.

It is not an unprimeable number, because it can be changed into a prime (61303758601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20439901 + ... + 20442899.

It is an arithmetic number, because the mean of its divisors is an integer number (587760000).

Almost surely, 2^61303758600 is an apocalyptic number.

61303758600 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 61303758600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112849920000).

61303758600 is an abundant number, since it is smaller than the sum of its proper divisors (164396081400).

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

61303758600 is a wasteful number, since it uses less digits than its factorization.

61303758600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 61303758600 in words is "sixty-one billion, three hundred three million, seven hundred fifty-eight thousand, six hundred".