61440304896 has 72 divisors (see below), whose sum is σ = 181689810960. Its totient is φ = 20480099328.

The previous prime is 61440304879. The next prime is 61440304901. The reversal of 61440304896 is 69840304416.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×61440304896² (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 4437555 + ... + 4451378.

Almost surely, 2^61440304896 is an apocalyptic number.

It is an amenable number.

61440304896 is an abundant number, since it is smaller than the sum of its proper divisors (120249506064).

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

61440304896 is an equidigital number, since it uses as much as digits as its factorization.

61440304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888958 (or 8888938 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 61440304896 in words is "sixty-one billion, four hundred forty million, three hundred four thousand, eight hundred ninety-six".