8767778048640 has 2560 divisors, whose sum is σ = 38426945356800. Its totient is φ = 1881217695744.

The previous prime is 8767778048597. The next prime is 8767778048647. The reversal of 8767778048640 is 468408777678.

8767778048640 is a `hidden beast` number, since 8 + 7 + 6 + 77 + 78 + 0 + 486 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8767778048647) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10230779092 + ... + 10230779948.

It is an arithmetic number, because the mean of its divisors is an integer number (15010525530).

Almost surely, 2^{8767778048640} is an apocalyptic number.

8767778048640 is a gapful number since it is divisible by the number (80) 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 8767778048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213472678400).

8767778048640 is an abundant number, since it is smaller than the sum of its proper divisors (29659167308160).

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

8767778048640 is a wasteful number, since it uses less digits than its factorization.

8767778048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 708083712, while the sum is 72.

The spelling of 8767778048640 in words is "eight trillion, seven hundred sixty-seven billion, seven hundred seventy-eight million, forty-eight thousand, six hundred forty".