61679411280 has 160 divisors (see below), whose sum is σ = 212531040000. Its totient is φ = 16441671168.

The previous prime is 61679411249. The next prime is 61679411293. The reversal of 61679411280 is 8211497616.

61679411280 is a `hidden beast` number, since 616 + 7 + 9 + 4 + 1 + 1 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10725846 + ... + 10731594.

It is an arithmetic number, because the mean of its divisors is an integer number (1328319000).

Almost surely, 2^61679411280 is an apocalyptic number.

61679411280 is a gapful number since it is divisible by the number (60) 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 61679411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106265520000).

61679411280 is an abundant number, since it is smaller than the sum of its proper divisors (150851628720).

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

61679411280 is a wasteful number, since it uses less digits than its factorization.

61679411280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 61679411280 in words is "sixty-one billion, six hundred seventy-nine million, four hundred eleven thousand, two hundred eighty".