61442127936 has 224 divisors, whose sum is σ = 206759413760. Its totient is φ = 17527104000.

The previous prime is 61442127917. The next prime is 61442127959. The reversal of 61442127936 is 63972124416.

61442127936 is a `hidden beast` number, since 614 + 4 + 2 + 1 + 27 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 61442127891 and 61442127900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8354661 + ... + 8362011.

Almost surely, 2^61442127936 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 61442127936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103379706880).

61442127936 is an abundant number, since it is smaller than the sum of its proper divisors (145317285824).

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

61442127936 is a wasteful number, since it uses less digits than its factorization.

61442127936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 8054 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 61442127936 in words is "sixty-one billion, four hundred forty-two million, one hundred twenty-seven thousand, nine hundred thirty-six".