10379728800 has 720 divisors, whose sum is σ = 44237793600. Its totient is φ = 2367429120.

The previous prime is 10379728781. The next prime is 10379728819. The reversal of 10379728800 is 882797301.

It is an interprime number because it is at equal distance from previous prime (10379728781) and next prime (10379728819).

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 22226167 + ... + 22226633.

It is an arithmetic number, because the mean of its divisors is an integer number (61441380).

Almost surely, 2^10379728800 is an apocalyptic number.

10379728800 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 10379728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118896800).

10379728800 is an abundant number, since it is smaller than the sum of its proper divisors (33858064800).

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

10379728800 is an equidigital number, since it uses as much as digits as its factorization.

10379728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10379728800 in words is "ten billion, three hundred seventy-nine million, seven hundred twenty-eight thousand, eight hundred".