10649743972740 has 36 divisors (see below), whose sum is σ = 32304223384524. Its totient is φ = 2839931726016.

The previous prime is 10649743972691. The next prime is 10649743972807. The reversal of 10649743972740 is 4727934794601.

10649743972740 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 97 + 439 + 72 + 7 + 40 = 666.

10649743972740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6973750697796 + 3675993274944 = 2640786^2 + 1917288^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10649743972740² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29582621967 + ... + 29582622326.

It is an arithmetic number, because the mean of its divisors is an integer number (897339538459).

Almost surely, 2^{10649743972740} is an apocalyptic number.

10649743972740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10649743972740 is an abundant number, since it is smaller than the sum of its proper divisors (21654479411784).

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

10649743972740 is a wasteful number, since it uses less digits than its factorization.

10649743972740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59165244308 (or 59165244303 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 10649743972740 in words is "ten trillion, six hundred forty-nine billion, seven hundred forty-three million, nine hundred seventy-two thousand, seven hundred forty".