7820340113520 has 960 divisors, whose sum is σ = 31260399206400. Its totient is φ = 1730937600000.

The previous prime is 7820340113483. The next prime is 7820340113591. The reversal of 7820340113520 is 253110430287.

7820340113520 is a `hidden beast` number, since 7 + 82 + 0 + 3 + 40 + 1 + 13 + 520 = 666.

It is a super-2 number, since 2×7820340113520² (a number of 27 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1170881541 + ... + 1170888219.

It is an arithmetic number, because the mean of its divisors is an integer number (32562915840).

Almost surely, 2^{7820340113520} 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 7820340113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15630199603200).

7820340113520 is an abundant number, since it is smaller than the sum of its proper divisors (23440059092880).

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

7820340113520 is a wasteful number, since it uses less digits than its factorization.

7820340113520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 7820340113520 in words is "seven trillion, eight hundred twenty billion, three hundred forty million, one hundred thirteen thousand, five hundred twenty".