670054809600 has 1632 divisors, whose sum is σ = 2878696644480. Its totient is φ = 152882380800.

The previous prime is 670054809563. The next prime is 670054809623. The reversal of 670054809600 is 6908450076.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39414988792 + ... + 39414988808.

Almost surely, 2^670054809600 is an apocalyptic number.

670054809600 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 670054809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439348322240).

670054809600 is an abundant number, since it is smaller than the sum of its proper divisors (2208641834880).

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

670054809600 is an frugal number, since it uses more digits than its factorization.

670054809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 670054809600 in words is "six hundred seventy billion, fifty-four million, eight hundred nine thousand, six hundred".