5673005654400 has 1728 divisors, whose sum is σ = 24562577894400. Its totient is φ = 1241688268800.

The previous prime is 5673005654383. The next prime is 5673005654423. The reversal of 5673005654400 is 44565003765.

5673005654400 is a `hidden beast` number, since 56 + 7 + 3 + 0 + 0 + 56 + 544 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 4505960971 + ... + 4505962229.

It is an arithmetic number, because the mean of its divisors is an integer number (14214454800).

Almost surely, 2^{5673005654400} is an apocalyptic number.

5673005654400 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 5673005654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281288947200).

5673005654400 is an abundant number, since it is smaller than the sum of its proper divisors (18889572240000).

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

5673005654400 is a wasteful number, since it uses less digits than its factorization.

5673005654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 5673005654400 in words is "five trillion, six hundred seventy-three billion, five million, six hundred fifty-four thousand, four hundred".