67888266480 has 640 divisors, whose sum is σ = 266794352640. Its totient is φ = 15765995520.

The previous prime is 67888266419. The next prime is 67888266487. The reversal of 67888266480 is 8466288876.

67888266480 is a `hidden beast` number, since 6 + 78 + 8 + 82 + 6 + 6 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67888266487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26180064 + ... + 26182656.

It is an arithmetic number, because the mean of its divisors is an integer number (416866176).

Almost surely, 2^67888266480 is an apocalyptic number.

67888266480 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 67888266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133397176320).

67888266480 is an abundant number, since it is smaller than the sum of its proper divisors (198906086160).

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

67888266480 is a wasteful number, since it uses less digits than its factorization.

67888266480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 67888266480 in words is "sixty-seven billion, eight hundred eighty-eight million, two hundred sixty-six thousand, four hundred eighty".