10363640400 has 180 divisors, whose sum is σ = 36502347232. Its totient is φ = 2722325760.

The previous prime is 10363640387. The next prime is 10363640407. The reversal of 10363640400 is 404636301.

10363640400 is a `hidden beast` number, since 10 + 3 + 6 + 3 + 640 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×10363640400³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363640407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219717 + ... + 262683.

Almost surely, 2^10363640400 is an apocalyptic number.

10363640400 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 10363640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251173616).

10363640400 is an abundant number, since it is smaller than the sum of its proper divisors (26138706832).

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

10363640400 is a wasteful number, since it uses less digits than its factorization.

10363640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43058 (or 43044 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 10363640400 in words is "ten billion, three hundred sixty-three million, six hundred forty thousand, four hundred".