10364237136 has 240 divisors, whose sum is σ = 33612366528. Its totient is φ = 2946355200.

The previous prime is 10364237063. The next prime is 10364237137. The reversal of 10364237136 is 63173246301.

10364237136 is a `hidden beast` number, since 1 + 0 + 3 + 642 + 3 + 7 + 1 + 3 + 6 = 666.

It is a super-3 number, since 3×10364237136³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10364237136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364237137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14998551 + ... + 14999241.

Almost surely, 2^10364237136 is an apocalyptic number.

10364237136 is a gapful number since it is divisible by the number (16) 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 10364237136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16806183264).

10364237136 is an abundant number, since it is smaller than the sum of its proper divisors (23248129392).

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

10364237136 is a wasteful number, since it uses less digits than its factorization.

10364237136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10364237136 in words is "ten billion, three hundred sixty-four million, two hundred thirty-seven thousand, one hundred thirty-six".