667215407040 has 1008 divisors, whose sum is σ = 2825950164192. Its totient is φ = 132467392512.

The previous prime is 667215407021. The next prime is 667215407051. The reversal of 667215407040 is 40704512766.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 667215406983 and 667215407001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135143452 + ... + 135148388.

Almost surely, 2^667215407040 is an apocalyptic number.

667215407040 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 667215407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412975082096).

667215407040 is an abundant number, since it is smaller than the sum of its proper divisors (2158734757152).

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

667215407040 is a wasteful number, since it uses less digits than its factorization.

667215407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 667215407040 in words is "six hundred sixty-seven billion, two hundred fifteen million, four hundred seven thousand, forty".