61660679328 has 576 divisors, whose sum is σ = 206654716800. Its totient is φ = 17823006720.

The previous prime is 61660679303. The next prime is 61660679329. The reversal of 61660679328 is 82397606616.

61660679328 is a `hidden beast` number, since 6 + 1 + 6 + 606 + 7 + 9 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61660679329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194513026 + ... + 194513342.

It is an arithmetic number, because the mean of its divisors is an integer number (358775550).

Almost surely, 2^61660679328 is an apocalyptic number.

61660679328 is a gapful number since it is divisible by the number (68) 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 61660679328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103327358400).

61660679328 is an abundant number, since it is smaller than the sum of its proper divisors (144994037472).

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

61660679328 is a wasteful number, since it uses less digits than its factorization.

61660679328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 61660679328 in words is "sixty-one billion, six hundred sixty million, six hundred seventy-nine thousand, three hundred twenty-eight".