10378477824 has 360 divisors, whose sum is σ = 33181968960. Its totient is φ = 2862182400.

The previous prime is 10378477789. The next prime is 10378477847. The reversal of 10378477824 is 42877487301.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 146175709 + ... + 146175779.

It is an arithmetic number, because the mean of its divisors is an integer number (92172136).

Almost surely, 2^10378477824 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 10378477824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590984480).

10378477824 is an abundant number, since it is smaller than the sum of its proper divisors (22803491136).

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

10378477824 is an frugal number, since it uses more digits than its factorization.

10378477824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 10378477824 in words is "ten billion, three hundred seventy-eight million, four hundred seventy-seven thousand, eight hundred twenty-four".