1670791416840 has 768 divisors, whose sum is σ = 7340839833600. Its totient is φ = 319442061312.

The previous prime is 1670791416809. The next prime is 1670791416871. The reversal of 1670791416840 is 486141970761.

1670791416840 is a `hidden beast` number, since 1 + 67 + 0 + 7 + 91 + 416 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1670791416809) and next prime (1670791416871).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14257767 + ... + 14374473.

It is an arithmetic number, because the mean of its divisors is an integer number (9558385200).

Almost surely, 2^{1670791416840} is an apocalyptic number.

1670791416840 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 1670791416840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670419916800).

1670791416840 is an abundant number, since it is smaller than the sum of its proper divisors (5670048416760).

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

1670791416840 is a wasteful number, since it uses less digits than its factorization.

1670791416840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116786 (or 116779 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1670791416840 in words is "one trillion, six hundred seventy billion, seven hundred ninety-one million, four hundred sixteen thousand, eight hundred forty".