61618309632 has 400 divisors, whose sum is σ = 211223311200. Its totient is φ = 17686978560.

The previous prime is 61618309631. The next prime is 61618309661. The reversal of 61618309632 is 23690381616.

61618309632 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 8 + 3 + 0 + 9 + 632 = 666.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (61618309631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8664094 + ... + 8671202.

It is an arithmetic number, because the mean of its divisors is an integer number (528058278).

Almost surely, 2^61618309632 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 61618309632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105611655600).

61618309632 is an abundant number, since it is smaller than the sum of its proper divisors (149605001568).

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

61618309632 is a wasteful number, since it uses less digits than its factorization.

61618309632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 61618309632 in words is "sixty-one billion, six hundred eighteen million, three hundred nine thousand, six hundred thirty-two".