61534636704 has 144 divisors (see below), whose sum is σ = 187893276480. Its totient is φ = 19032975360.

The previous prime is 61534636697. The next prime is 61534636727. The reversal of 61534636704 is 40763643516.

61534636704 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 4 + 636 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 61534636704.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 259107 + ... + 436125.

It is an arithmetic number, because the mean of its divisors is an integer number (1304814420).

Almost surely, 2^61534636704 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 61534636704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93946638240).

61534636704 is an abundant number, since it is smaller than the sum of its proper divisors (126358639776).

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

61534636704 is a wasteful number, since it uses less digits than its factorization.

61534636704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177123 (or 177112 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 61534636704 in words is "sixty-one billion, five hundred thirty-four million, six hundred thirty-six thousand, seven hundred four".