61604686746 has 96 divisors (see below), whose sum is σ = 141258411840. Its totient is φ = 19349736192.

The previous prime is 61604686739. The next prime is 61604686753. The reversal of 61604686746 is 64768640616.

It is a happy number.

61604686746 is a `hidden beast` number, since 61 + 60 + 468 + 67 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61604686739) and next prime (61604686753).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61604686692 and 61604686701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95807901 + ... + 95808543.

It is an arithmetic number, because the mean of its divisors is an integer number (1471441790).

Almost surely, 2^61604686746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61604686746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70629205920).

61604686746 is an abundant number, since it is smaller than the sum of its proper divisors (79653725094).

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

61604686746 is a wasteful number, since it uses less digits than its factorization.

61604686746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 61604686746 in words is "sixty-one billion, six hundred four million, six hundred eighty-six thousand, seven hundred forty-six".