61068504960 has 672 divisors, whose sum is σ = 233217563400. Its totient is φ = 15241955328.

The previous prime is 61068504929. The next prime is 61068504961. The reversal of 61068504960 is 6940586016.

61068504960 is a `hidden beast` number, since 6 + 106 + 8 + 50 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61068504961) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 735765079 + ... + 735765161.

Almost surely, 2^61068504960 is an apocalyptic number.

61068504960 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 61068504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116608781700).

61068504960 is an abundant number, since it is smaller than the sum of its proper divisors (172149058440).

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

61068504960 is an frugal number, since it uses more digits than its factorization.

61068504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61068504960 in words is "sixty-one billion, sixty-eight million, five hundred four thousand, nine hundred sixty".