61566750960 has 320 divisors, whose sum is σ = 224970600960. Its totient is φ = 13731287040.

The previous prime is 61566750901. The next prime is 61566750967. The reversal of 61566750960 is 6905766516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61566750967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10876611 + ... + 10882269.

It is an arithmetic number, because the mean of its divisors is an integer number (703033128).

Almost surely, 2^61566750960 is an apocalyptic number.

61566750960 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 61566750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112485300480).

61566750960 is an abundant number, since it is smaller than the sum of its proper divisors (163403850000).

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

61566750960 is a wasteful number, since it uses less digits than its factorization.

61566750960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 61566750960 in words is "sixty-one billion, five hundred sixty-six million, seven hundred fifty thousand, nine hundred sixty".