67799410560 has 1536 divisors, whose sum is σ = 299400192000. Its totient is φ = 14631321600.

The previous prime is 67799410543. The next prime is 67799410621. The reversal of 67799410560 is 6501499776.

67799410560 is a `hidden beast` number, since 6 + 7 + 79 + 9 + 4 + 1 + 0 + 560 = 666.

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 = 67799410497 and 67799410506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1653644140 + ... + 1653644180.

It is an arithmetic number, because the mean of its divisors is an integer number (194922000).

Almost surely, 2^67799410560 is an apocalyptic number.

67799410560 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 67799410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096000).

67799410560 is an abundant number, since it is smaller than the sum of its proper divisors (231600781440).

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

67799410560 is an equidigital number, since it uses as much as digits as its factorization.

67799410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 67799410560 in words is "sixty-seven billion, seven hundred ninety-nine million, four hundred ten thousand, five hundred sixty".