7962678535680 has 3200 divisors, whose sum is σ = 34901577406080. Its totient is φ = 1712282664960.

The previous prime is 7962678535619. The next prime is 7962678535687. The reversal of 7962678535680 is 865358762697.

It is a happy number.

7962678535680 is a `hidden beast` number, since 7 + 9 + 6 + 2 + 6 + 7 + 8 + 53 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7962678535599 and 7962678535608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7962678535687) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 82089469392 + ... + 82089469488.

Almost surely, 2^{7962678535680} 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 7962678535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450788703040).

7962678535680 is an abundant number, since it is smaller than the sum of its proper divisors (26938898870400).

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

7962678535680 is a wasteful number, since it uses less digits than its factorization.

7962678535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 7962678535680 in words is "seven trillion, nine hundred sixty-two billion, six hundred seventy-eight million, five hundred thirty-five thousand, six hundred eighty".