10168451640 has 192 divisors, whose sum is σ = 34363929600. Its totient is φ = 2704275072.

The previous prime is 10168451599. The next prime is 10168451663. The reversal of 10168451640 is 4615486101.

10168451640 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 4 + 5 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10168451595 and 10168451604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4265889 + ... + 4268271.

It is an arithmetic number, because the mean of its divisors is an integer number (178978800).

Almost surely, 2^10168451640 is an apocalyptic number.

10168451640 is a gapful number since it is divisible by the number (10) 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 10168451640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17181964800).

10168451640 is an abundant number, since it is smaller than the sum of its proper divisors (24195477960).

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

10168451640 is a wasteful number, since it uses less digits than its factorization.

10168451640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10168451640 in words is "ten billion, one hundred sixty-eight million, four hundred fifty-one thousand, six hundred forty".