6004951680 has 256 divisors, whose sum is σ = 23558572800. Its totient is φ = 1266941952.

The previous prime is 6004951669. The next prime is 6004951727. The reversal of 6004951680 is 861594006.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157536 + ... + 191904.

It is an arithmetic number, because the mean of its divisors is an integer number (92025675).

Almost surely, 2^6004951680 is an apocalyptic number.

6004951680 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 6004951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779286400).

6004951680 is an abundant number, since it is smaller than the sum of its proper divisors (17553621120).

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

6004951680 is a wasteful number, since it uses less digits than its factorization.

6004951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34411 (or 34399 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 6004951680 is about 77491.6232892304. The cubic root of 6004951680 is about 1817.6203331431.

The spelling of 6004951680 in words is "six billion, four million, nine hundred fifty-one thousand, six hundred eighty".