10389620736 has 768 divisors, whose sum is σ = 37739520000. Its totient is φ = 2786918400.

The previous prime is 10389620723. The next prime is 10389620779. The reversal of 10389620736 is 63702698301.

10389620736 is a `hidden beast` number, since 10 + 3 + 8 + 9 + 620 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 10389620691 and 10389620700.

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, 335149041 + ... + 335149071.

It is an arithmetic number, because the mean of its divisors is an integer number (49140000).

Almost surely, 2^10389620736 is an apocalyptic number.

10389620736 is a gapful number since it is divisible by the number (16) 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 10389620736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760000).

10389620736 is an abundant number, since it is smaller than the sum of its proper divisors (27349899264).

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

10389620736 is a wasteful number, since it uses less digits than its factorization.

10389620736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

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

The spelling of 10389620736 in words is "ten billion, three hundred eighty-nine million, six hundred twenty thousand, seven hundred thirty-six".