61305361920 has 1440 divisors, whose sum is σ = 263389142016. Its totient is φ = 13536460800.

The previous prime is 61305361919. The next prime is 61305361921. The reversal of 61305361920 is 2916350316.

61305361920 is a `hidden beast` number, since 6 + 1 + 30 + 5 + 3 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61305361919) and next prime (61305361921).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×61305361920³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61305361921) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1977592305 + ... + 1977592335.

Almost surely, 2^61305361920 is an apocalyptic number.

61305361920 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 61305361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131694571008).

61305361920 is an abundant number, since it is smaller than the sum of its proper divisors (202083780096).

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

61305361920 is a wasteful number, since it uses less digits than its factorization.

61305361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 61305361920 in words is "sixty-one billion, three hundred five million, three hundred sixty-one thousand, nine hundred twenty".