68653474560 has 720 divisors, whose sum is σ = 283831000992. Its totient is φ = 15659827200.

The previous prime is 68653474457. The next prime is 68653474609. The reversal of 68653474560 is 6547435686.

68653474560 is a `hidden beast` number, since 6 + 8 + 6 + 5 + 3 + 4 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68653474497 and 68653474506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19386390 + ... + 19389930.

Almost surely, 2^68653474560 is an apocalyptic number.

68653474560 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 68653474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141915500496).

68653474560 is an abundant number, since it is smaller than the sum of its proper divisors (215177526432).

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

68653474560 is a wasteful number, since it uses less digits than its factorization.

68653474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 68653474560 in words is "sixty-eight billion, six hundred fifty-three million, four hundred seventy-four thousand, five hundred sixty".