7946780387840 has 640 divisors, whose sum is σ = 23731326812160. Its totient is φ = 2491170619392.

The previous prime is 7946780387789. The next prime is 7946780387899. The reversal of 7946780387840 is 487830876497.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599913037 + ... + 1599918003.

It is an arithmetic number, because the mean of its divisors is an integer number (37080198144).

Almost surely, 2^{7946780387840} is an apocalyptic number.

7946780387840 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 7946780387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11865663406080).

7946780387840 is an abundant number, since it is smaller than the sum of its proper divisors (15784546424320).

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

7946780387840 is a wasteful number, since it uses less digits than its factorization.

7946780387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 71.

The spelling of 7946780387840 in words is "seven trillion, nine hundred forty-six billion, seven hundred eighty million, three hundred eighty-seven thousand, eight hundred forty".