670464000 has 384 divisors, whose sum is σ = 2504174400. Its totient is φ = 176947200.

The previous prime is 670463953. The next prime is 670464019. The reversal of 670464000 is 464076.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6911952 + ... + 6912048.

Almost surely, 2^670464000 is an apocalyptic number.

670464000 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 670464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252087200).

670464000 is an abundant number, since it is smaller than the sum of its proper divisors (1833710400).

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

670464000 is an equidigital number, since it uses as much as digits as its factorization.

670464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 670464000 is about 25893.3196017815. The cubic root of 670464000 is about 875.2359635722.

The spelling of 670464000 in words is "six hundred seventy million, four hundred sixty-four thousand".