667914638976 has 384 divisors, whose sum is σ = 2163139655040. Its totient is φ = 196276101120.

The previous prime is 667914638939. The next prime is 667914638981. The reversal of 667914638976 is 679836419766.

667914638976 is a `hidden beast` number, since 6 + 6 + 7 + 91 + 463 + 8 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×667914638976² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

Its product of digits (493807104) is a multiple of the sum of its prime factors (3024).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334458010 + ... + 334460006.

It is an arithmetic number, because the mean of its divisors is an integer number (5633176185).

Almost surely, 2^667914638976 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 667914638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081569827520).

667914638976 is an abundant number, since it is smaller than the sum of its proper divisors (1495225016064).

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

667914638976 is a wasteful number, since it uses less digits than its factorization.

667914638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3009 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 667914638976 in words is "six hundred sixty-seven billion, nine hundred fourteen million, six hundred thirty-eight thousand, nine hundred seventy-six".