5787826672320 has 1344 divisors, whose sum is σ = 26201290752000. Its totient is φ = 1161130844160.

The previous prime is 5787826672319. The next prime is 5787826672333. The reversal of 5787826672320 is 232766287875.

5787826672320 is a `hidden beast` number, since 5 + 78 + 78 + 266 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 315111777 + ... + 315130143.

It is an arithmetic number, because the mean of its divisors is an integer number (19495008000).

Almost surely, 2^{5787826672320} 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 5787826672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100645376000).

5787826672320 is an abundant number, since it is smaller than the sum of its proper divisors (20413464079680).

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

5787826672320 is a wasteful number, since it uses less digits than its factorization.

5787826672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18451 (or 18424 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 5787826672320 in words is "five trillion, seven hundred eighty-seven billion, eight hundred twenty-six million, six hundred seventy-two thousand, three hundred twenty".