6461014536 has 96 divisors (see below), whose sum is σ = 17930484000. Its totient is φ = 2100655872.

The previous prime is 6461014507. The next prime is 6461014537. The reversal of 6461014536 is 6354101646.

It is a happy number.

6461014536 is a `hidden beast` number, since 6 + 4 + 610 + 1 + 4 + 5 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6461014536.

It is not an unprimeable number, because it can be changed into a prime (6461014537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3989935 + ... + 3991553.

It is an arithmetic number, because the mean of its divisors is an integer number (186775875).

Almost surely, 2^6461014536 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 6461014536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965242000).

6461014536 is an abundant number, since it is smaller than the sum of its proper divisors (11469469464).

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

6461014536 is a wasteful number, since it uses less digits than its factorization.

6461014536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6461014536 is about 80380.4362764970. The cubic root of 6461014536 is about 1862.5169740116.

The spelling of 6461014536 in words is "six billion, four hundred sixty-one million, fourteen thousand, five hundred thirty-six".