61531342479360 has 2688 divisors, whose sum is σ = 258855971512320. Its totient is φ = 13355804786688.

The previous prime is 61531342479281. The next prime is 61531342479449. The reversal of 61531342479360 is 6397424313516.

61531342479360 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 1 + 34 + 247 + 9 + 360 = 666.

It is a super-2 number, since 2×61531342479360² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61531342479297 and 61531342479306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196585758564 + ... + 196585758876.

It is an arithmetic number, because the mean of its divisors is an integer number (96300584640).

Almost surely, 2^{61531342479360} is an apocalyptic number.

61531342479360 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 61531342479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129427985756160).

61531342479360 is an abundant number, since it is smaller than the sum of its proper divisors (197324629032960).

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

61531342479360 is a wasteful number, since it uses less digits than its factorization.

61531342479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 61531342479360 in words is "sixty-one trillion, five hundred thirty-one billion, three hundred forty-two million, four hundred seventy-nine thousand, three hundred sixty".