670648221600 has 864 divisors, whose sum is σ = 2659221798912. Its totient is φ = 146200320000.

The previous prime is 670648221589. The next prime is 670648221641. The reversal of 670648221600 is 6122846076.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 258836305 + ... + 258838895.

It is an arithmetic number, because the mean of its divisors is an integer number (3077803008).

Almost surely, 2^670648221600 is an apocalyptic number.

670648221600 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 670648221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329610899456).

670648221600 is an abundant number, since it is smaller than the sum of its proper divisors (1988573577312).

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

670648221600 is a wasteful number, since it uses less digits than its factorization.

670648221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 670648221600 in words is "six hundred seventy billion, six hundred forty-eight million, two hundred twenty-one thousand, six hundred".