604436120640 has 1008 divisors, whose sum is σ = 2435147363376. Its totient is φ = 137027911680.

The previous prime is 604436120627. The next prime is 604436120681. The reversal of 604436120640 is 46021634406.

604436120640 is a `hidden beast` number, since 6 + 0 + 4 + 4 + 3 + 6 + 1 + 2 + 0 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 135824679936 + 468611440704 = 368544^2 + 684552^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 604436120595 and 604436120604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1522508922 + ... + 1522509318.

It is an arithmetic number, because the mean of its divisors is an integer number (2415820797).

Almost surely, 2^604436120640 is an apocalyptic number.

604436120640 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 604436120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217573681688).

604436120640 is an abundant number, since it is smaller than the sum of its proper divisors (1830711242736).

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

604436120640 is a wasteful number, since it uses less digits than its factorization.

604436120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 604436120640 in words is "six hundred four billion, four hundred thirty-six million, one hundred twenty thousand, six hundred forty".