7809871380480 has 912 divisors, whose sum is σ = 29459661364224. Its totient is φ = 1902536294400.

The previous prime is 7809871380473. The next prime is 7809871380503. The reversal of 7809871380480 is 840831789087.

7809871380480 is a `hidden beast` number, since 7 + 8 + 0 + 9 + 8 + 71 + 3 + 80 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19475988280 + ... + 19475988680.

Almost surely, 2^{7809871380480} 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 7809871380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14729830682112).

7809871380480 is an abundant number, since it is smaller than the sum of its proper divisors (21649789983744).

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

7809871380480 is a wasteful number, since it uses less digits than its factorization.

7809871380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 7809871380480 in words is "seven trillion, eight hundred nine billion, eight hundred seventy-one million, three hundred eighty thousand, four hundred eighty".