67505707745280 has 816 divisors, whose sum is σ = 267862911511104. Its totient is φ = 15406014136320.

The previous prime is 67505707745279. The next prime is 67505707745293. The reversal of 67505707745280 is 8254770750576.

It is a happy number.

67505707745280 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 570 + 7 + 7 + 4 + 52 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15709960092 + ... + 15709964388.

Almost surely, 2^{67505707745280} is an apocalyptic number.

67505707745280 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 67505707745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133931455755552).

67505707745280 is an abundant number, since it is smaller than the sum of its proper divisors (200357203765824).

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

67505707745280 is an equidigital number, since it uses as much as digits as its factorization.

67505707745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 115248000, while the sum is 63.

The spelling of 67505707745280 in words is "sixty-seven trillion, five hundred five billion, seven hundred seven million, seven hundred forty-five thousand, two hundred eighty".