67112735760 has 640 divisors, whose sum is σ = 275045253120. Its totient is φ = 14718412800.

The previous prime is 67112735747. The next prime is 67112735783. The reversal of 67112735760 is 6753721176.

67112735760 is a `hidden beast` number, since 6 + 7 + 1 + 1 + 2 + 73 + 576 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61401774 + ... + 61402866.

It is an arithmetic number, because the mean of its divisors is an integer number (429758208).

Almost surely, 2^67112735760 is an apocalyptic number.

67112735760 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 67112735760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137522626560).

67112735760 is an abundant number, since it is smaller than the sum of its proper divisors (207932517360).

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

67112735760 is a wasteful number, since it uses less digits than its factorization.

67112735760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 67112735760 in words is "sixty-seven billion, one hundred twelve million, seven hundred thirty-five thousand, seven hundred sixty".