61670568960 has 1584 divisors, whose sum is σ = 293560630272. Its totient is φ = 11766988800.

The previous prime is 61670568943. The next prime is 61670568989. The reversal of 61670568960 is 6986507616.

61670568960 is a `hidden beast` number, since 6 + 1 + 6 + 70 + 568 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a junction number, because it is equal to n+sod(n) for n = 61670568897 and 61670568906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322882465 + ... + 322882655.

Almost surely, 2^61670568960 is an apocalyptic number.

61670568960 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 61670568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146780315136).

61670568960 is an abundant number, since it is smaller than the sum of its proper divisors (231890061312).

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

61670568960 is a wasteful number, since it uses less digits than its factorization.

61670568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 61670568960 in words is "sixty-one billion, six hundred seventy million, five hundred sixty-eight thousand, nine hundred sixty".