667759878720 has 672 divisors, whose sum is σ = 2612140876800. Its totient is φ = 161026652160.

The previous prime is 667759878689. The next prime is 667759878733. The reversal of 667759878720 is 27878957766.

667759878720 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 598 + 7 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170214679 + ... + 170218601.

It is an arithmetic number, because the mean of its divisors is an integer number (3887114400).

Almost surely, 2^667759878720 is an apocalyptic number.

667759878720 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 667759878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306070438400).

667759878720 is an abundant number, since it is smaller than the sum of its proper divisors (1944380998080).

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

667759878720 is a wasteful number, since it uses less digits than its factorization.

667759878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 667759878720 in words is "six hundred sixty-seven billion, seven hundred fifty-nine million, eight hundred seventy-eight thousand, seven hundred twenty".