6762049632 has 144 divisors (see below), whose sum is σ = 20833263360. Its totient is φ = 2080435968.

The previous prime is 6762049627. The next prime is 6762049673. The reversal of 6762049632 is 2369402676.

6762049632 is a `hidden beast` number, since 6 + 7 + 6 + 2 + 0 + 4 + 9 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627393 + ... + 638079.

It is an arithmetic number, because the mean of its divisors is an integer number (144675440).

Almost surely, 2^6762049632 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 6762049632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416631680).

6762049632 is an abundant number, since it is smaller than the sum of its proper divisors (14071213728).

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

6762049632 is a wasteful number, since it uses less digits than its factorization.

6762049632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10742 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 6762049632 is about 82231.6826533423. The cubic root of 6762049632 is about 1891.0054681937.

The spelling of 6762049632 in words is "six billion, seven hundred sixty-two million, forty-nine thousand, six hundred thirty-two".