61305264000 has 768 divisors, whose sum is σ = 236808748800. Its totient is φ = 15143731200.

The previous prime is 61305263953. The next prime is 61305264061. The reversal of 61305264000 is 46250316.

61305264000 is a `hidden beast` number, since 6 + 13 + 0 + 5 + 2 + 640 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193391842 + ... + 193392158.

It is an arithmetic number, because the mean of its divisors is an integer number (308344725).

Almost surely, 2^61305264000 is an apocalyptic number.

61305264000 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 61305264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118404374400).

61305264000 is an abundant number, since it is smaller than the sum of its proper divisors (175503484800).

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

61305264000 is a wasteful number, since it uses less digits than its factorization.

61305264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 61305264000 in words is "sixty-one billion, three hundred five million, two hundred sixty-four thousand".