10714628736 has 96 divisors (see below), whose sum is σ = 35237124000. Its totient is φ = 3061320192.

The previous prime is 10714628731. The next prime is 10714628747. The reversal of 10714628736 is 63782641701.

10714628736 is a `hidden beast` number, since 1 + 0 + 7 + 14 + 628 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10714628736² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10714628691 and 10714628700.

It is not an unprimeable number, because it can be changed into a prime (10714628731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656286 + ... + 672413.

It is an arithmetic number, because the mean of its divisors is an integer number (367053375).

Almost surely, 2^10714628736 is an apocalyptic number.

10714628736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10714628736 is an abundant number, since it is smaller than the sum of its proper divisors (24522495264).

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

10714628736 is a wasteful number, since it uses less digits than its factorization.

10714628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328726 (or 1328711 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10714628736 in words is "ten billion, seven hundred fourteen million, six hundred twenty-eight thousand, seven hundred thirty-six".