667434349920 has 1152 divisors, whose sum is σ = 2525238374400. Its totient is φ = 147507609600.

The previous prime is 667434349877. The next prime is 667434349937. The reversal of 667434349920 is 29943434766.

It is a super-2 number, since 2×667434349920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2914560366 + ... + 2914560594.

It is an arithmetic number, because the mean of its divisors is an integer number (2192047200).

Almost surely, 2^667434349920 is an apocalyptic number.

667434349920 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 667434349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262619187200).

667434349920 is an abundant number, since it is smaller than the sum of its proper divisors (1857804024480).

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

667434349920 is a wasteful number, since it uses less digits than its factorization.

667434349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 57.

The spelling of 667434349920 in words is "six hundred sixty-seven billion, four hundred thirty-four million, three hundred forty-nine thousand, nine hundred twenty".