5874612480 has 864 divisors, whose sum is σ = 24588240768. Its totient is φ = 1327104000.

The previous prime is 5874612467. The next prime is 5874612481. The reversal of 5874612480 is 842164785.

5874612480 is a `hidden beast` number, since 587 + 4 + 61 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5874612480² = 69022143580343500800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5874612481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58164430 + ... + 58164530.

It is an arithmetic number, because the mean of its divisors is an integer number (28458612).

Almost surely, 2^5874612480 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 5874612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294120384).

5874612480 is an abundant number, since it is smaller than the sum of its proper divisors (18713628288).

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

5874612480 is a wasteful number, since it uses less digits than its factorization.

5874612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5874612480 is about 76646.0206403437. The cubic root of 5874612480 is about 1804.3733656571.

The spelling of 5874612480 in words is "five billion, eight hundred seventy-four million, six hundred twelve thousand, four hundred eighty".