6574740480 has 1056 divisors, whose sum is σ = 30349313280. Its totient is φ = 1274019840.

The previous prime is 6574740451. The next prime is 6574740553. The reversal of 6574740480 is 840474756.

6574740480 is a `hidden beast` number, since 6 + 574 + 74 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

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, 60318666 + ... + 60318774.

It is an arithmetic number, because the mean of its divisors is an integer number (28739880).

Almost surely, 2^6574740480 is an apocalyptic number.

6574740480 is a gapful number since it is divisible by the number (60) 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 6574740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174656640).

6574740480 is an abundant number, since it is smaller than the sum of its proper divisors (23774572800).

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

6574740480 is a wasteful number, since it uses less digits than its factorization.

6574740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

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

The square root of 6574740480 is about 81084.7734164683. The cubic root of 6574740480 is about 1873.3814042142.

The spelling of 6574740480 in words is "six billion, five hundred seventy-four million, seven hundred forty thousand, four hundred eighty".