7826968880640 has 2880 divisors, whose sum is σ = 36610232795136. Its totient is φ = 1560403574784.

The previous prime is 7826968880623. The next prime is 7826968880663. The reversal of 7826968880640 is 460888696287.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×7826968880640² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20435949889 + ... + 20435950271.

Almost surely, 2^{7826968880640} is an apocalyptic number.

7826968880640 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 7826968880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18305116397568).

7826968880640 is an abundant number, since it is smaller than the sum of its proper divisors (28783263914496).

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

7826968880640 is a wasteful number, since it uses less digits than its factorization.

7826968880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 7826968880640 in words is "seven trillion, eight hundred twenty-six billion, nine hundred sixty-eight million, eight hundred eighty thousand, six hundred forty".