10368673920 has 1152 divisors, whose sum is σ = 44442216000. Its totient is φ = 2299207680.

The previous prime is 10368673883. The next prime is 10368673927. The reversal of 10368673920 is 2937686301.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10368673927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 357540466 + ... + 357540494.

Almost surely, 2^10368673920 is an apocalyptic number.

10368673920 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 10368673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221108000).

10368673920 is an abundant number, since it is smaller than the sum of its proper divisors (34073542080).

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

10368673920 is a wasteful number, since it uses less digits than its factorization.

10368673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10368673920 in words is "ten billion, three hundred sixty-eight million, six hundred seventy-three thousand, nine hundred twenty".