10363641984 has 128 divisors (see below), whose sum is σ = 31414204800. Its totient is φ = 3361139712.

The previous prime is 10363641943. The next prime is 10363642007. The reversal of 10363641984 is 48914636301.

10363641984 is a `hidden beast` number, since 1 + 0 + 3 + 636 + 4 + 1 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×10363641984³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87349 + ... + 168395.

It is an arithmetic number, because the mean of its divisors is an integer number (245423475).

Almost surely, 2^10363641984 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 10363641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707102400).

10363641984 is an abundant number, since it is smaller than the sum of its proper divisors (21050562816).

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

10363641984 is an equidigital number, since it uses as much as digits as its factorization.

10363641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81107 (or 81089 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10363641984 in words is "ten billion, three hundred sixty-three million, six hundred forty-one thousand, nine hundred eighty-four".