6700633632 has 864 divisors, whose sum is σ = 26840346624. Its totient is φ = 1595635200.

The previous prime is 6700633603. The next prime is 6700633669. The reversal of 6700633632 is 2363360076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6700633632² = 89796982140579022848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 216149457 + ... + 216149487.

It is an arithmetic number, because the mean of its divisors is an integer number (31065216).

Almost surely, 2^6700633632 is an apocalyptic number.

6700633632 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 6700633632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13420173312).

6700633632 is an abundant number, since it is smaller than the sum of its proper divisors (20139712992).

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

6700633632 is a wasteful number, since it uses less digits than its factorization.

6700633632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 6700633632 is about 81857.3981506864. The cubic root of 6700633632 is about 1885.2630582694.

The spelling of 6700633632 in words is "six billion, seven hundred million, six hundred thirty-three thousand, six hundred thirty-two".