61345317353760 has 1920 divisors, whose sum is σ = 247416205639680. Its totient is φ = 14179990118400.

The previous prime is 61345317353711. The next prime is 61345317353813. The reversal of 61345317353760 is 6735371354316.

61345317353760 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 5 + 31 + 73 + 537 + 6 + 0 = 666.

61345317353760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61345317353760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61345317353697 and 61345317353706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 167153453097 + ... + 167153453463.

It is an arithmetic number, because the mean of its divisors is an integer number (128862607104).

Almost surely, 2^{61345317353760} is an apocalyptic number.

61345317353760 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 61345317353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123708102819840).

61345317353760 is an abundant number, since it is smaller than the sum of its proper divisors (186070888285920).

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

61345317353760 is a wasteful number, since it uses less digits than its factorization.

61345317353760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 61345317353760 in words is "sixty-one trillion, three hundred forty-five billion, three hundred seventeen million, three hundred fifty-three thousand, seven hundred sixty".