5874654449664 has 3120 divisors, whose sum is σ = 25375613155200. Its totient is φ = 1334376529920.

The previous prime is 5874654449639. The next prime is 5874654449669. The reversal of 5874654449664 is 4669444564785.

5874654449664 is a `hidden beast` number, since 5 + 8 + 74 + 6 + 5 + 4 + 4 + 496 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5874654449592 and 5874654449601.

It is not an unprimeable number, because it can be changed into a prime (5874654449669) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 309192339447 + ... + 309192339465.

Almost surely, 2^{5874654449664} is an apocalyptic number.

5874654449664 is a gapful number since it is divisible by the number (54) 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 5874654449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687806577600).

5874654449664 is an abundant number, since it is smaller than the sum of its proper divisors (19500958705536).

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

5874654449664 is a wasteful number, since it uses less digits than its factorization.

5874654449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 55 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 72.

The spelling of 5874654449664 in words is "five trillion, eight hundred seventy-four billion, six hundred fifty-four million, four hundred forty-nine thousand, six hundred sixty-four".