1670245920000 has 3240 divisors, whose sum is σ = 7970045219136. Its totient is φ = 340402176000.

The previous prime is 1670245919957. The next prime is 1670245920001. The reversal of 1670245920000 is 295420761.

1670245920000 is a `hidden beast` number, since 1 + 67 + 0 + 2 + 4 + 592 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670245920001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 87907679991 + ... + 87907680009.

Almost surely, 2^{1670245920000} is an apocalyptic number.

1670245920000 is a gapful number since it is divisible by the number (10) 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 1670245920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985022609568).

1670245920000 is an abundant number, since it is smaller than the sum of its proper divisors (6299799299136).

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

1670245920000 is an frugal number, since it uses more digits than its factorization.

1670245920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1670245920000 in words is "one trillion, six hundred seventy billion, two hundred forty-five million, nine hundred twenty thousand".