667493551872 has 432 divisors, whose sum is σ = 2236496790528. Its totient is φ = 187518320640.

The previous prime is 667493551867. The next prime is 667493551873. The reversal of 667493551872 is 278155394766.

667493551872 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 9 + 3 + 551 + 8 + 72 = 666.

667493551872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667493551873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679036693 + ... + 679037675.

It is an arithmetic number, because the mean of its divisors is an integer number (5177075904).

Almost surely, 2^667493551872 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 667493551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118248395264).

667493551872 is an abundant number, since it is smaller than the sum of its proper divisors (1569003238656).

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

667493551872 is a wasteful number, since it uses less digits than its factorization.

667493551872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1659 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 667493551872 in words is "six hundred sixty-seven billion, four hundred ninety-three million, five hundred fifty-one thousand, eight hundred seventy-two".