1673578368 has 512 divisors, whose sum is σ = 6501888000. Its totient is φ = 410572800.

The previous prime is 1673578367. The next prime is 1673578373. The reversal of 1673578368 is 8638753761.

1673578368 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 578 + 3 + 68 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673578367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5055963 + ... + 5056293.

It is an arithmetic number, because the mean of its divisors is an integer number (12699000).

Almost surely, 2^1673578368 is an apocalyptic number.

1673578368 is a gapful number since it is divisible by the number (18) 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 1673578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250944000).

1673578368 is an abundant number, since it is smaller than the sum of its proper divisors (4828309632).

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

1673578368 is a wasteful number, since it uses less digits than its factorization.

1673578368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 1673578368 is about 40909.3921734362. The cubic root of 1673578368 is about 1187.2677867345.

The spelling of 1673578368 in words is "one billion, six hundred seventy-three million, five hundred seventy-eight thousand, three hundred sixty-eight".