1673934640560 has 2240 divisors, whose sum is σ = 7554878956800. Its totient is φ = 342372925440.

The previous prime is 1673934640549. The next prime is 1673934640579. The reversal of 1673934640560 is 650464393761.

1673934640560 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 9 + 34 + 6 + 40 + 560 = 666.

It is a super-2 number, since 2×1673934640560² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1673934640497 and 1673934640506.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 10662004002 + ... + 10662004158.

It is an arithmetic number, because the mean of its divisors is an integer number (3372713820).

Almost surely, 2^{1673934640560} is an apocalyptic number.

1673934640560 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 1673934640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777439478400).

1673934640560 is an abundant number, since it is smaller than the sum of its proper divisors (5880944316240).

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

1673934640560 is a wasteful number, since it uses less digits than its factorization.

1673934640560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 1673934640560 in words is "one trillion, six hundred seventy-three billion, nine hundred thirty-four million, six hundred forty thousand, five hundred sixty".