667692480 has 224 divisors, whose sum is σ = 2609478144. Its totient is φ = 140857344.

The previous prime is 667692469. The next prime is 667692511. The reversal of 667692480 is 84296766.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83539 + ... + 91181.

It is an arithmetic number, because the mean of its divisors is an integer number (11649456).

Almost surely, 2^667692480 is an apocalyptic number.

667692480 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 667692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304739072).

667692480 is an abundant number, since it is smaller than the sum of its proper divisors (1941785664).

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

667692480 is a wasteful number, since it uses less digits than its factorization.

667692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 667692480 is about 25839.7461287839. The cubic root of 667692480 is about 874.0283003611.

The spelling of 667692480 in words is "six hundred sixty-seven million, six hundred ninety-two thousand, four hundred eighty".