6004797120 has 504 divisors, whose sum is σ = 25449544224. Its totient is φ = 1291272192.

The previous prime is 6004797119. The next prime is 6004797121. The reversal of 6004797120 is 217974006.

It is a happy number.

6004797120 is a `hidden beast` number, since 60 + 0 + 479 + 7 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (6004797119) and next prime (6004797121).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6004797121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2397789 + ... + 2400291.

Almost surely, 2^6004797120 is an apocalyptic number.

6004797120 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 6004797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724772112).

6004797120 is an abundant number, since it is smaller than the sum of its proper divisors (19444747104).

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

6004797120 is a wasteful number, since it uses less digits than its factorization.

6004797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 6004797120 is about 77490.6260137315. The cubic root of 6004797120 is about 1817.6047385791.

The spelling of 6004797120 in words is "six billion, four million, seven hundred ninety-seven thousand, one hundred twenty".