667948863744 has 432 divisors, whose sum is σ = 2099665870848. Its totient is φ = 203407884288.

The previous prime is 667948863719. The next prime is 667948863763. The reversal of 667948863744 is 447368849766.

667948863744 is a `hidden beast` number, since 6 + 6 + 79 + 488 + 6 + 3 + 74 + 4 = 666.

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

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, 233792364 + ... + 233795220.

It is an arithmetic number, because the mean of its divisors is an integer number (4860337664).

Almost surely, 2^667948863744 is an apocalyptic number.

667948863744 is a gapful number since it is divisible by the number (64) 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 667948863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049832935424).

667948863744 is an abundant number, since it is smaller than the sum of its proper divisors (1431717007104).

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

667948863744 is a wasteful number, since it uses less digits than its factorization.

667948863744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3053 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 667948863744 in words is "six hundred sixty-seven billion, nine hundred forty-eight million, eight hundred sixty-three thousand, seven hundred forty-four".