6461763984 has 100 divisors (see below), whose sum is σ = 20140904476. Its totient is φ = 1988229888.

The previous prime is 6461763947. The next prime is 6461763991. The reversal of 6461763984 is 4893671646.

6461763984 is a `hidden beast` number, since 6 + 461 + 76 + 39 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1783203984 + 4678560000 = 42228^2 + 68400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6461763984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174919 + ... + 208614.

Almost surely, 2^6461763984 is an apocalyptic number.

It is an amenable number.

6461763984 is an abundant number, since it is smaller than the sum of its proper divisors (13679140492).

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

6461763984 is a wasteful number, since it uses less digits than its factorization.

6461763984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383566 (or 383551 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 6461763984 is about 80385.0980219593. The cubic root of 6461763984 is about 1862.5889856978.

The spelling of 6461763984 in words is "six billion, four hundred sixty-one million, seven hundred sixty-three thousand, nine hundred eighty-four".