61485728640 has 256 divisors, whose sum is σ = 224306910720. Its totient is φ = 14033608704.

The previous prime is 61485728621. The next prime is 61485728641. The reversal of 61485728640 is 4682758416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61485728641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10574374 + ... + 10580186.

It is an arithmetic number, because the mean of its divisors is an integer number (876198870).

Almost surely, 2^61485728640 is an apocalyptic number.

61485728640 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 61485728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112153455360).

61485728640 is an abundant number, since it is smaller than the sum of its proper divisors (162821182080).

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

61485728640 is a wasteful number, since it uses less digits than its factorization.

61485728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 61485728640 in words is "sixty-one billion, four hundred eighty-five million, seven hundred twenty-eight thousand, six hundred forty".