10164302936640 has 560 divisors, whose sum is σ = 36835952947200. Its totient is φ = 2659691593728.

The previous prime is 10164302936539. The next prime is 10164302936653. The reversal of 10164302936640 is 4663920346101.

10164302936640 is a `hidden beast` number, since 1 + 0 + 164 + 302 + 93 + 66 + 40 = 666.

10164302936640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 882388801 + ... + 882400319.

Almost surely, 2^{10164302936640} is an apocalyptic number.

10164302936640 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 10164302936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417976473600).

10164302936640 is an abundant number, since it is smaller than the sum of its proper divisors (26671650010560).

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

10164302936640 is a wasteful number, since it uses less digits than its factorization.

10164302936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12184 (or 12165 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 10164302936640 in words is "ten trillion, one hundred sixty-four billion, three hundred two million, nine hundred thirty-six thousand, six hundred forty".