5673507840000 has 4480 divisors, whose sum is σ = 28890364124160. Its totient is φ = 1061683200000.

The previous prime is 5673507839969. The next prime is 5673507840037. The reversal of 5673507840000 is 487053765.

5673507840000 is a `hidden beast` number, since 5 + 67 + 3 + 507 + 84 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-4 number, since 4×5673507840000⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 138378239980 + ... + 138378240020.

It is an arithmetic number, because the mean of its divisors is an integer number (6448741992).

Almost surely, 2^{5673507840000} is an apocalyptic number.

5673507840000 is a gapful number since it is divisible by the number (50) 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 5673507840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445182062080).

5673507840000 is an abundant number, since it is smaller than the sum of its proper divisors (23216856284160).

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

5673507840000 is a wasteful number, since it uses less digits than its factorization.

5673507840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 5673507840000 in words is "five trillion, six hundred seventy-three billion, five hundred seven million, eight hundred forty thousand".