1670097761280 has 880 divisors, whose sum is σ = 6537319899264. Its totient is φ = 405217935360.

The previous prime is 1670097761279. The next prime is 1670097761309. The reversal of 1670097761280 is 821677900761.

1670097761280 is a `hidden beast` number, since 16 + 7 + 0 + 0 + 9 + 7 + 7 + 612 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 382784379 + ... + 382788741.

Almost surely, 2^{1670097761280} is an apocalyptic number.

1670097761280 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 1670097761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268659949632).

1670097761280 is an abundant number, since it is smaller than the sum of its proper divisors (4867222137984).

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

1670097761280 is a wasteful number, since it uses less digits than its factorization.

1670097761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 1670097761280 in words is "one trillion, six hundred seventy billion, ninety-seven million, seven hundred sixty-one thousand, two hundred eighty".