604800060480 has 448 divisors, whose sum is σ = 2660075919360. Its totient is φ = 125672601600.

The previous prime is 604800060461. The next prime is 604800060493. The reversal of 604800060480 is 84060008406.

604800060480 is a `hidden beast` number, since 6 + 0 + 48 + 0 + 0 + 0 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×604800060480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210735 + ... + 1119825.

Almost surely, 2^604800060480 is an apocalyptic number.

604800060480 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 604800060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330037959680).

604800060480 is an abundant number, since it is smaller than the sum of its proper divisors (2055275858880).

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

604800060480 is a wasteful number, since it uses less digits than its factorization.

604800060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909135 (or 909119 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 604800060480 its reverse (84060008406), we get a palindrome (688860068886).

It can be divided in two parts, 6048000 and 60480, that multiplied together give a square (365783040000 = 604800²).

The spelling of 604800060480 in words is "six hundred four billion, eight hundred million, sixty thousand, four hundred eighty".