61600769664 has 128 divisors (see below), whose sum is σ = 188036983680. Its totient is φ = 17502842880.

The previous prime is 61600769653. The next prime is 61600769683. The reversal of 61600769664 is 46696700616.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423222 + ... + 549834.

It is an arithmetic number, because the mean of its divisors is an integer number (1469038935).

Almost surely, 2^61600769664 is an apocalyptic number.

61600769664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61600769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94018491840).

61600769664 is an abundant number, since it is smaller than the sum of its proper divisors (126436214016).

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

61600769664 is a wasteful number, since it uses less digits than its factorization.

61600769664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126818 (or 126806 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 61600769664 in words is "sixty-one billion, six hundred million, seven hundred sixty-nine thousand, six hundred sixty-four".