10477635168 has 384 divisors, whose sum is σ = 37309870080. Its totient is φ = 2486200320.

The previous prime is 10477635163. The next prime is 10477635169. The reversal of 10477635168 is 86153677401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10477635163) 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, 10281763 + ... + 10282781.

It is an arithmetic number, because the mean of its divisors is an integer number (97161120).

Almost surely, 2^10477635168 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 10477635168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654935040).

10477635168 is an abundant number, since it is smaller than the sum of its proper divisors (26832234912).

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

10477635168 is a wasteful number, since it uses less digits than its factorization.

10477635168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 10477635168 in words is "ten billion, four hundred seventy-seven million, six hundred thirty-five thousand, one hundred sixty-eight".