61268048760 has 128 divisors (see below), whose sum is σ = 187611240960. Its totient is φ = 16000857600.

The previous prime is 61268048741. The next prime is 61268048771. The reversal of 61268048760 is 6784086216.

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, 3623125 + ... + 3639995.

It is an arithmetic number, because the mean of its divisors is an integer number (1465712820).

Almost surely, 2^61268048760 is an apocalyptic number.

61268048760 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 61268048760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93805620480).

61268048760 is an abundant number, since it is smaller than the sum of its proper divisors (126343192200).

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

61268048760 is a wasteful number, since it uses less digits than its factorization.

61268048760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17509 (or 17505 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 61268048760 in words is "sixty-one billion, two hundred sixty-eight million, forty-eight thousand, seven hundred sixty".