61678302336 has 576 divisors, whose sum is σ = 219385476000. Its totient is φ = 17008911360.

The previous prime is 61678302331. The next prime is 61678302347. The reversal of 61678302336 is 63320387616.

61678302336 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 8 + 302 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 61678302291 and 61678302300.

It is not an unprimeable number, because it can be changed into a prime (61678302331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162739395 + ... + 162739773.

Almost surely, 2^61678302336 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 61678302336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109692738000).

61678302336 is an abundant number, since it is smaller than the sum of its proper divisors (157707173664).

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

61678302336 is a wasteful number, since it uses less digits than its factorization.

61678302336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 61678302336 in words is "sixty-one billion, six hundred seventy-eight million, three hundred two thousand, three hundred thirty-six".