10386774720 has 448 divisors, whose sum is σ = 42100439040. Its totient is φ = 2361470976.

The previous prime is 10386774689. The next prime is 10386774731. The reversal of 10386774720 is 2747768301.

10386774720 is a `hidden beast` number, since 103 + 8 + 6 + 77 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 15905914 + ... + 15906566.

Almost surely, 2^10386774720 is an apocalyptic number.

10386774720 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 10386774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21050219520).

10386774720 is an abundant number, since it is smaller than the sum of its proper divisors (31713664320).

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

10386774720 is a wasteful number, since it uses less digits than its factorization.

10386774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10386774720 in words is "ten billion, three hundred eighty-six million, seven hundred seventy-four thousand, seven hundred twenty".