7081786403328 has 1280 divisors, whose sum is σ = 25612696682496. Its totient is φ = 1685528248320.

The previous prime is 7081786403303. The next prime is 7081786403381. The reversal of 7081786403328 is 8233046871807.

It is a happy number.

It is a super-2 number, since 2×7081786403328² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9355067526 + ... + 9355068282.

Almost surely, 2^{7081786403328} is an apocalyptic number.

7081786403328 is a gapful number since it is divisible by the number (78) 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 7081786403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806348341248).

7081786403328 is an abundant number, since it is smaller than the sum of its proper divisors (18530910279168).

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

7081786403328 is a wasteful number, since it uses less digits than its factorization.

7081786403328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 7081786403328 in words is "seven trillion, eighty-one billion, seven hundred eighty-six million, four hundred three thousand, three hundred twenty-eight".