5840006774400 has 768 divisors, whose sum is σ = 22806342384000. Its totient is φ = 1455129722880.

The previous prime is 5840006774389. The next prime is 5840006774429. The reversal of 5840006774400 is 44776000485.

5840006774400 is a `hidden beast` number, since 584 + 0 + 0 + 0 + 67 + 7 + 4 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119812434 + ... + 119861166.

Almost surely, 2^{5840006774400} is an apocalyptic number.

5840006774400 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 5840006774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11403171192000).

5840006774400 is an abundant number, since it is smaller than the sum of its proper divisors (16966335609600).

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

5840006774400 is a wasteful number, since it uses less digits than its factorization.

5840006774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48858 (or 48835 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 5840006774400 in words is "five trillion, eight hundred forty billion, six million, seven hundred seventy-four thousand, four hundred".