7268736837120 has 320 divisors, whose sum is σ = 25968017940480. Its totient is φ = 1719138713600.

The previous prime is 7268736837107. The next prime is 7268736837199. The reversal of 7268736837120 is 217386378627.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7268736837120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2414401 + ... + 4512959.

It is an arithmetic number, because the mean of its divisors is an integer number (81150056064).

Almost surely, 2^{7268736837120} 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 7268736837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984008970240).

7268736837120 is an abundant number, since it is smaller than the sum of its proper divisors (18699281103360).

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

7268736837120 is a wasteful number, since it uses less digits than its factorization.

7268736837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098637 (or 2098621 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 7268736837120 in words is "seven trillion, two hundred sixty-eight billion, seven hundred thirty-six million, eight hundred thirty-seven thousand, one hundred twenty".