7869027778560 has 1088 divisors, whose sum is σ = 31116800655360. Its totient is φ = 1873658511360.

The previous prime is 7869027778553. The next prime is 7869027778631. The reversal of 7869027778560 is 658777209687.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3565484977 + ... + 3565487183.

Almost surely, 2^{7869027778560} 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 7869027778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15558400327680).

7869027778560 is an abundant number, since it is smaller than the sum of its proper divisors (23247772876800).

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

7869027778560 is a wasteful number, since it uses less digits than its factorization.

7869027778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 7869027778560 in words is "seven trillion, eight hundred sixty-nine billion, twenty-seven million, seven hundred seventy-eight thousand, five hundred sixty".