61000047360 has 432 divisors, whose sum is σ = 255398584896. Its totient is φ = 13122404352.

The previous prime is 61000047349. The next prime is 61000047391. The reversal of 61000047360 is 6374000016.

61000047360 is a `hidden beast` number, since 610 + 0 + 0 + 0 + 47 + 3 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348632 + ... + 1393128.

It is an arithmetic number, because the mean of its divisors is an integer number (591200428).

Almost surely, 2^61000047360 is an apocalyptic number.

61000047360 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 61000047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127699292448).

61000047360 is an abundant number, since it is smaller than the sum of its proper divisors (194398537536).

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

61000047360 is a wasteful number, since it uses less digits than its factorization.

61000047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44548 (or 44531 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 61000047360 its reverse (6374000016), we get a palindrome (67374047376).

The spelling of 61000047360 in words is "sixty-one billion, forty-seven thousand, three hundred sixty".