61345624560 has 160 divisors (see below), whose sum is σ = 208322737920. Its totient is φ = 14809804800.

The previous prime is 61345624559. The next prime is 61345624583. The reversal of 61345624560 is 6542654316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588031 + ... + 684449.

It is an arithmetic number, because the mean of its divisors is an integer number (1302017112).

Almost surely, 2^61345624560 is an apocalyptic number.

61345624560 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 61345624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104161368960).

61345624560 is an abundant number, since it is smaller than the sum of its proper divisors (146977113360).

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

61345624560 is a wasteful number, since it uses less digits than its factorization.

61345624560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96687 (or 96681 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 61345624560 in words is "sixty-one billion, three hundred forty-five million, six hundred twenty-four thousand, five hundred sixty".