670377945600 has 2880 divisors, whose sum is σ = 3061131575040. Its totient is φ = 142737408000.

The previous prime is 670377945571. The next prime is 670377945613. The reversal of 670377945600 is 6549773076.

670377945600 is a `hidden beast` number, since 6 + 7 + 0 + 3 + 7 + 79 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16350681580 + ... + 16350681620.

It is an arithmetic number, because the mean of its divisors is an integer number (1062892908).

Almost surely, 2^670377945600 is an apocalyptic number.

670377945600 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 670377945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530565787520).

670377945600 is an abundant number, since it is smaller than the sum of its proper divisors (2390753629440).

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

670377945600 is a wasteful number, since it uses less digits than its factorization.

670377945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 670377945600 in words is "six hundred seventy billion, three hundred seventy-seven million, nine hundred forty-five thousand, six hundred".