7797207504240 has 2160 divisors, whose sum is σ = 35322830131680. Its totient is φ = 1592201318400.

The previous prime is 7797207504217. The next prime is 7797207504241. The reversal of 7797207504240 is 424057027977.

7797207504240 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 207 + 5 + 0 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7797207504241) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7030844806 + ... + 7030845914.

It is an arithmetic number, because the mean of its divisors is an integer number (16353162098).

Almost surely, 2^{7797207504240} is an apocalyptic number.

7797207504240 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 7797207504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17661415065840).

7797207504240 is an abundant number, since it is smaller than the sum of its proper divisors (27525622627440).

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

7797207504240 is a wasteful number, since it uses less digits than its factorization.

7797207504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 7797207504240 in words is "seven trillion, seven hundred ninety-seven billion, two hundred seven million, five hundred four thousand, two hundred forty".