667952881992 has 144 divisors (see below), whose sum is σ = 2022151950000. Its totient is φ = 198979133760.

The previous prime is 667952881951. The next prime is 667952881997. The reversal of 667952881992 is 299188259766.

667952881992 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 528 + 8 + 1 + 9 + 92 = 666.

It is a super-2 number, since 2×667952881992² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 667952881992.

It is not an unprimeable number, because it can be changed into a prime (667952881997) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135742 + ... + 1163757.

It is an arithmetic number, because the mean of its divisors is an integer number (14042721875).

Almost surely, 2^667952881992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667952881992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011075975000).

667952881992 is an abundant number, since it is smaller than the sum of its proper divisors (1354199068008).

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

667952881992 is a wasteful number, since it uses less digits than its factorization.

667952881992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299592 (or 1299574 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 667952881992 in words is "six hundred sixty-seven billion, nine hundred fifty-two million, eight hundred eighty-one thousand, nine hundred ninety-two".