7120339776900 has 1296 divisors, whose sum is σ = 29002911694848. Its totient is φ = 1426911552000.

The previous prime is 7120339776899. The next prime is 7120339776917. The reversal of 7120339776900 is 96779330217.

It is a happy number.

It is a super-2 number, since 2×7120339776900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1621573705 + ... + 1621578095.

It is an arithmetic number, because the mean of its divisors is an integer number (22378789888).

Almost surely, 2^{7120339776900} is an apocalyptic number.

7120339776900 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 7120339776900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14501455847424).

7120339776900 is an abundant number, since it is smaller than the sum of its proper divisors (21882571917948).

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

7120339776900 is a wasteful number, since it uses less digits than its factorization.

7120339776900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 7120339776900 in words is "seven trillion, one hundred twenty billion, three hundred thirty-nine million, seven hundred seventy-six thousand, nine hundred".