61290646272 has 288 divisors, whose sum is σ = 191701036800. Its totient is φ = 19262251008.

The previous prime is 61290646213. The next prime is 61290646289. The reversal of 61290646272 is 27264609216.

61290646272 is a `hidden beast` number, since 6 + 12 + 9 + 0 + 6 + 4 + 627 + 2 = 666.

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

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, 30598423 + ... + 30600425.

It is an arithmetic number, because the mean of its divisors is an integer number (665628600).

Almost surely, 2^61290646272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61290646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95850518400).

61290646272 is an abundant number, since it is smaller than the sum of its proper divisors (130410390528).

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

61290646272 is a wasteful number, since it uses less digits than its factorization.

61290646272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 61290646272 in words is "sixty-one billion, two hundred ninety million, six hundred forty-six thousand, two hundred seventy-two".