7008920100 has 648 divisors, whose sum is σ = 28248816960. Its totient is φ = 1421521920.

The previous prime is 7008920081. The next prime is 7008920153. The reversal of 7008920100 is 10298007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 30876187 + ... + 30876413.

Almost surely, 2^7008920100 is an apocalyptic number.

7008920100 is a gapful number since it is divisible by the number (70) 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 7008920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124408480).

7008920100 is an abundant number, since it is smaller than the sum of its proper divisors (21239896860).

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

7008920100 is a wasteful number, since it uses less digits than its factorization.

7008920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7008920100 is about 83719.2934752796. The cubic root of 7008920100 is about 1913.7433872747.

The spelling of 7008920100 in words is "seven billion, eight million, nine hundred twenty thousand, one hundred".