5673776613120 has 1152 divisors, whose sum is σ = 25176324096000. Its totient is φ = 1175484579840.

The previous prime is 5673776613101. The next prime is 5673776613161. The reversal of 5673776613120 is 213166773765.

5673776613120 is a `hidden beast` number, since 5 + 6 + 7 + 3 + 7 + 7 + 6 + 613 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5673776613120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 955339111 + ... + 955345049.

It is an arithmetic number, because the mean of its divisors is an integer number (21854448000).

Almost surely, 2^{5673776613120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5673776613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588162048000).

5673776613120 is an abundant number, since it is smaller than the sum of its proper divisors (19502547482880).

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

5673776613120 is a wasteful number, since it uses less digits than its factorization.

5673776613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 5673776613120 in words is "five trillion, six hundred seventy-three billion, seven hundred seventy-six million, six hundred thirteen thousand, one hundred twenty".