1673858618640 has 480 divisors, whose sum is σ = 6355884697344. Its totient is φ = 391686451200.

The previous prime is 1673858618639. The next prime is 1673858618657. The reversal of 1673858618640 is 468168583761.

1673858618640 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 8 + 5 + 8 + 618 + 6 + 4 + 0 = 666.

It is a super-3 number, since 3×1673858618640³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35066790 + ... + 35114490.

Almost surely, 2^{1673858618640} is an apocalyptic number.

1673858618640 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 1673858618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177942348672).

1673858618640 is an abundant number, since it is smaller than the sum of its proper divisors (4682026078704).

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

1673858618640 is a wasteful number, since it uses less digits than its factorization.

1673858618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47919 (or 47910 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1673858618640 in words is "one trillion, six hundred seventy-three billion, eight hundred fifty-eight million, six hundred eighteen thousand, six hundred forty".