7135682914780 has 96 divisors (see below), whose sum is σ = 17553159622656. Its totient is φ = 2385821350656.

The previous prime is 7135682914777. The next prime is 7135682914783. The reversal of 7135682914780 is 874192865317.

It is an interprime number because it is at equal distance from previous prime (7135682914777) and next prime (7135682914783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7135682914783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134832 + ... + 3780151.

It is an arithmetic number, because the mean of its divisors is an integer number (182845412736).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7135682914780 = 14271365829560, but 3⋅7135682914780 = 21407048744340 is not.

Almost surely, 2^{7135682914780} is an apocalyptic number.

7135682914780 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 7135682914780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776579811328).

7135682914780 is an abundant number, since it is smaller than the sum of its proper divisors (10417476707876).

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

7135682914780 is a wasteful number, since it uses less digits than its factorization.

7135682914780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915323 (or 3915321 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 7135682914780 in words is "seven trillion, one hundred thirty-five billion, six hundred eighty-two million, nine hundred fourteen thousand, seven hundred eighty".