676465632 has 144 divisors (see below), whose sum is σ = 2103034752. Its totient is φ = 205332480.

The previous prime is 676465619. The next prime is 676465633. The reversal of 676465632 is 236564676.

676465632 is a `hidden beast` number, since 6 + 7 + 6 + 4 + 6 + 5 + 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 not an unprimeable number, because it can be changed into a prime (676465633) 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, 149548 + ... + 154004.

It is an arithmetic number, because the mean of its divisors is an integer number (14604408).

Almost surely, 2^676465632 is an apocalyptic number.

676465632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051517376).

676465632 is an abundant number, since it is smaller than the sum of its proper divisors (1426569120).

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

676465632 is a wasteful number, since it uses less digits than its factorization.

676465632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4510 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 676465632 is about 26008.9529201004. The cubic root of 676465632 is about 877.8397564217.

The spelling of 676465632 in words is "six hundred seventy-six million, four hundred sixty-five thousand, six hundred thirty-two".