667122480 has 360 divisors, whose sum is σ = 2460092544. Its totient is φ = 167961600.

The previous prime is 667122479. The next prime is 667122487. The reversal of 667122480 is 84221766.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667122487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16271260 + ... + 16271300.

Almost surely, 2^667122480 is an apocalyptic number.

667122480 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 667122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230046272).

667122480 is an abundant number, since it is smaller than the sum of its proper divisors (1792970064).

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

667122480 is an equidigital number, since it uses as much as digits as its factorization.

667122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 667122480 is about 25828.7142537138. The cubic root of 667122480 is about 873.7795141903.

The spelling of 667122480 in words is "six hundred sixty-seven million, one hundred twenty-two thousand, four hundred eighty".