1673475358464 has 1080 divisors, whose sum is σ = 6272480808720. Its totient is φ = 438804946944.

The previous prime is 1673475358459. The next prime is 1673475358481. The reversal of 1673475358464 is 4648535743761.

1673475358464 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 47 + 5 + 3 + 584 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9673267882 + ... + 9673268054.

Almost surely, 2^{1673475358464} is an apocalyptic number.

1673475358464 is a gapful number since it is divisible by the number (14) 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 1673475358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136240404360).

1673475358464 is an abundant number, since it is smaller than the sum of its proper divisors (4599005450256).

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

1673475358464 is an frugal number, since it uses more digits than its factorization.

1673475358464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 198 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 1673475358464 in words is "one trillion, six hundred seventy-three billion, four hundred seventy-five million, three hundred fifty-eight thousand, four hundred sixty-four".