667296400752 has 240 divisors, whose sum is σ = 2017990260000. Its totient is φ = 205089325056.

The previous prime is 667296400739. The next prime is 667296400759. The reversal of 667296400752 is 257004692766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667296400759) 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, 23733999 + ... + 23762097.

It is an arithmetic number, because the mean of its divisors is an integer number (8408292750).

Almost surely, 2^667296400752 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 667296400752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008995130000).

667296400752 is an abundant number, since it is smaller than the sum of its proper divisors (1350693859248).

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

667296400752 is a wasteful number, since it uses less digits than its factorization.

667296400752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28328 (or 28319 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 667296400752 in words is "six hundred sixty-seven billion, two hundred ninety-six million, four hundred thousand, seven hundred fifty-two".