61361279784 has 240 divisors, whose sum is σ = 201381364800. Its totient is φ = 17404414272.

The previous prime is 61361279783. The next prime is 61361279803. The reversal of 61361279784 is 48797216316.

61361279784 is a `hidden beast` number, since 6 + 1 + 361 + 279 + 7 + 8 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61361279784.

It is not an unprimeable number, because it can be changed into a prime (61361279783) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4406577 + ... + 4420479.

It is an arithmetic number, because the mean of its divisors is an integer number (839089020).

Almost surely, 2^61361279784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61361279784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100690682400).

61361279784 is an abundant number, since it is smaller than the sum of its proper divisors (140020085016).

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

61361279784 is a wasteful number, since it uses less digits than its factorization.

61361279784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14074 (or 14054 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

It can be divided in two parts, 613612 and 79784, that added together give a palindrome (693396).

The spelling of 61361279784 in words is "sixty-one billion, three hundred sixty-one million, two hundred seventy-nine thousand, seven hundred eighty-four".