10477724867808 has 384 divisors, whose sum is σ = 31841824702464. Its totient is φ = 2986552166400.

The previous prime is 10477724867807. The next prime is 10477724867867. The reversal of 10477724867808 is 80876842777401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10477724867801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1360209685 + ... + 1360217387.

It is an arithmetic number, because the mean of its divisors is an integer number (82921418496).

Almost surely, 2^{10477724867808} 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 10477724867808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920912351232).

10477724867808 is an abundant number, since it is smaller than the sum of its proper divisors (21364099834656).

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

10477724867808 is a wasteful number, since it uses less digits than its factorization.

10477724867808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 236027904, while the sum is 69.

The spelling of 10477724867808 in words is "ten trillion, four hundred seventy-seven billion, seven hundred twenty-four million, eight hundred sixty-seven thousand, eight hundred eight".