61206475680 has 288 divisors, whose sum is σ = 243785977344. Its totient is φ = 13692284928.

The previous prime is 61206475679. The next prime is 61206475697. The reversal of 61206475680 is 8657460216.

61206475680 is a `hidden beast` number, since 6 + 1 + 20 + 64 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 409164 + ... + 538356.

It is an arithmetic number, because the mean of its divisors is an integer number (846479088).

Almost surely, 2^61206475680 is an apocalyptic number.

61206475680 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 61206475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121892988672).

61206475680 is an abundant number, since it is smaller than the sum of its proper divisors (182579501664).

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

61206475680 is a wasteful number, since it uses less digits than its factorization.

61206475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129268 (or 129257 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 6120 and 6475680, that added together give a triangular number (6481800 = T₃₆₀₀).

The spelling of 61206475680 in words is "sixty-one billion, two hundred six million, four hundred seventy-five thousand, six hundred eighty".