7009500672 has 160 divisors (see below), whose sum is σ = 21841459200. Its totient is φ = 2213443584.

The previous prime is 7009500629. The next prime is 7009500727. The reversal of 7009500672 is 2760059007.

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 15 ways as a sum of consecutive naturals, for example, 249313 + ... + 275999.

It is an arithmetic number, because the mean of its divisors is an integer number (136509120).

Almost surely, 2^7009500672 is an apocalyptic number.

7009500672 is a gapful number since it is divisible by the number (72) 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 7009500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920729600).

7009500672 is an abundant number, since it is smaller than the sum of its proper divisors (14831958528).

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

7009500672 is a wasteful number, since it uses less digits than its factorization.

7009500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26733 (or 26711 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7009500672 is about 83722.7607762668. The cubic root of 7009500672 is about 1913.7962263775.

Adding to 7009500672 its reverse (2760059007), we get a palindrome (9769559679).

The spelling of 7009500672 in words is "seven billion, nine million, five hundred thousand, six hundred seventy-two".