61304399354880 has 1760 divisors, whose sum is σ = 247279667830272. Its totient is φ = 14392442880000.

The previous prime is 61304399354827. The next prime is 61304399354981. The reversal of 61304399354880 is 8845399340316.

61304399354880 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 4 + 3 + 9 + 9 + 3 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×61304399354880² (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 159 ways as a sum of consecutive naturals, for example, 42366550317 + ... + 42366551763.

Almost surely, 2^{61304399354880} is an apocalyptic number.

61304399354880 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 61304399354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123639833915136).

61304399354880 is an abundant number, since it is smaller than the sum of its proper divisors (185975268475392).

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

61304399354880 is a wasteful number, since it uses less digits than its factorization.

61304399354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 61304399354880 in words is "sixty-one trillion, three hundred four billion, three hundred ninety-nine million, three hundred fifty-four thousand, eight hundred eighty".