61827612336 has 400 divisors, whose sum is σ = 208691476224. Its totient is φ = 17307883008.

The previous prime is 61827612271. The next prime is 61827612373. The reversal of 61827612336 is 63321672816.

61827612336 is a `hidden beast` number, since 6 + 1 + 8 + 27 + 612 + 3 + 3 + 6 = 666.

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 = 61827612291 and 61827612300.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118216971 + ... + 118217493.

Almost surely, 2^61827612336 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 61827612336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104345738112).

61827612336 is an abundant number, since it is smaller than the sum of its proper divisors (146863863888).

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

61827612336 is a wasteful number, since it uses less digits than its factorization.

61827612336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 775 counting only the distinct ones).

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

The spelling of 61827612336 in words is "sixty-one billion, eight hundred twenty-seven million, six hundred twelve thousand, three hundred thirty-six".