6461801604 has 72 divisors (see below), whose sum is σ = 16550515800. Its totient is φ = 2125573632.

The previous prime is 6461801587. The next prime is 6461801617. The reversal of 6461801604 is 4061081646.

6461801604 is a `hidden beast` number, since 6 + 46 + 1 + 8 + 0 + 1 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117679104 + 6344122500 = 10848^2 + 79650^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838312 + ... + 845984.

It is an arithmetic number, because the mean of its divisors is an integer number (229868275).

Almost surely, 2^6461801604 is an apocalyptic number.

It is an amenable number.

6461801604 is an abundant number, since it is smaller than the sum of its proper divisors (10088714196).

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

6461801604 is a wasteful number, since it uses less digits than its factorization.

6461801604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6461801604 is about 80385.3320202137. The cubic root of 6461801604 is about 1862.5926003177.

The spelling of 6461801604 in words is "six billion, four hundred sixty-one million, eight hundred one thousand, six hundred four".