6461907552 has 144 divisors (see below), whose sum is σ = 18788973840. Its totient is φ = 2105865216.

The previous prime is 6461907547. The next prime is 6461907559. The reversal of 6461907552 is 2557091646.

6461907552 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 90 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6461907498 and 6461907507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461907559) by changing a digit.

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, 5784498 + ... + 5785614.

It is an arithmetic number, because the mean of its divisors is an integer number (130478985).

Almost surely, 2^6461907552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461907552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394486920).

6461907552 is an abundant number, since it is smaller than the sum of its proper divisors (12327066288).

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

6461907552 is a wasteful number, since it uses less digits than its factorization.

6461907552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 6461907552 is about 80385.9910183360. The cubic root of 6461907552 is about 1862.6027799804.

The spelling of 6461907552 in words is "six billion, four hundred sixty-one million, nine hundred seven thousand, five hundred fifty-two".