667342501488 has 1280 divisors, whose sum is σ = 2414745446400. Its totient is φ = 174142586880.

The previous prime is 667342501459. The next prime is 667342501489. The reversal of 667342501488 is 884105243766.

It is a happy number.

667342501488 is a `hidden beast` number, since 6 + 6 + 73 + 42 + 50 + 1 + 488 = 666.

667342501488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×667342501488² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667342501489) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4094125695 + ... + 4094125857.

It is an arithmetic number, because the mean of its divisors is an integer number (1886519880).

Almost surely, 2^667342501488 is an apocalyptic number.

667342501488 is a gapful number since it is divisible by the number (68) 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 667342501488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207372723200).

667342501488 is an abundant number, since it is smaller than the sum of its proper divisors (1747402944912).

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

667342501488 is a wasteful number, since it uses less digits than its factorization.

667342501488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 667342501488 in words is "six hundred sixty-seven billion, three hundred forty-two million, five hundred one thousand, four hundred eighty-eight".