667282613760 has 800 divisors, whose sum is σ = 2795206309632. Its totient is φ = 148960788480.

The previous prime is 667282613687. The next prime is 667282613761. The reversal of 667282613760 is 67316282766.

667282613760 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 8 + 261 + 376 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 667282613697 and 667282613706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667282613761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62410015 + ... + 62420705.

Almost surely, 2^667282613760 is an apocalyptic number.

667282613760 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 667282613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397603154816).

667282613760 is an abundant number, since it is smaller than the sum of its proper divisors (2127923695872).

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

667282613760 is a wasteful number, since it uses less digits than its factorization.

667282613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10776 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 667282613760 in words is "six hundred sixty-seven billion, two hundred eighty-two million, six hundred thirteen thousand, seven hundred sixty".