6021604800 has 420 divisors, whose sum is σ = 22408774080. Its totient is φ = 1585889280.

The previous prime is 6021604783. The next prime is 6021604807. The reversal of 6021604800 is 84061206.

6021604800 is a `hidden beast` number, since 602 + 16 + 0 + 48 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 77599²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6021604807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12570961 + ... + 12571439.

It is an arithmetic number, because the mean of its divisors is an integer number (53354224).

Almost surely, 2^6021604800 is an apocalyptic number.

6021604800 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 6021604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204387040).

6021604800 is an abundant number, since it is smaller than the sum of its proper divisors (16387169280).

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

6021604800 is a wasteful number, since it uses less digits than its factorization.

6021604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6021604800 is about 77598.9999935566. Note that the first 5 decimals coincide. The cubic root of 6021604800 is about 1819.2990095165.

The spelling of 6021604800 in words is "six billion, twenty-one million, six hundred four thousand, eight hundred".