1670478480000 has 1920 divisors, whose sum is σ = 7314692299200. Its totient is φ = 360529920000.

The previous prime is 1670478479953. The next prime is 1670478480023. The reversal of 1670478480000 is 848740761.

1670478480000 is a `hidden beast` number, since 167 + 0 + 4 + 7 + 8 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1670478480000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2558159674 + ... + 2558160326.

Almost surely, 2^{1670478480000} is an apocalyptic number.

1670478480000 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 1670478480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657346149600).

1670478480000 is an abundant number, since it is smaller than the sum of its proper divisors (5644213819200).

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

1670478480000 is a wasteful number, since it uses less digits than its factorization.

1670478480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1670478480000 in words is "one trillion, six hundred seventy billion, four hundred seventy-eight million, four hundred eighty thousand".