7871027909472 has 576 divisors, whose sum is σ = 28524149821440. Its totient is φ = 2002774118400.

The previous prime is 7871027909449. The next prime is 7871027909473. The reversal of 7871027909472 is 2749097201787.

7871027909472 is a `hidden beast` number, since 7 + 8 + 71 + 0 + 2 + 7 + 90 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7871027909473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268905654 + ... + 268934922.

It is an arithmetic number, because the mean of its divisors is an integer number (49521093440).

Almost surely, 2^{7871027909472} is an apocalyptic number.

7871027909472 is a gapful number since it is divisible by the number (72) 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 7871027909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262074910720).

7871027909472 is an abundant number, since it is smaller than the sum of its proper divisors (20653121911968).

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

7871027909472 is a wasteful number, since it uses less digits than its factorization.

7871027909472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29667 (or 29656 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 7871027909472 in words is "seven trillion, eight hundred seventy-one billion, twenty-seven million, nine hundred nine thousand, four hundred seventy-two".