7509980856 has 128 divisors (see below), whose sum is σ = 21913390080. Its totient is φ = 2100274176.

The previous prime is 7509980813. The next prime is 7509980879. The reversal of 7509980856 is 6580899057.

It is a junction number, because it is equal to n+sod(n) for n = 7509980796 and 7509980805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5493085 + ... + 5494451.

It is an arithmetic number, because the mean of its divisors is an integer number (171198360).

Almost surely, 2^7509980856 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 7509980856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956695040).

7509980856 is an abundant number, since it is smaller than the sum of its proper divisors (14403409224).

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

7509980856 is a wasteful number, since it uses less digits than its factorization.

7509980856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The square root of 7509980856 is about 86660.1457187789. The cubic root of 7509980856 is about 1958.3017408096.

The spelling of 7509980856 in words is "seven billion, five hundred nine million, nine hundred eighty thousand, eight hundred fifty-six".