10742372334720 has 192 divisors, whose sum is σ = 39948197398200. Its totient is φ = 2644276248576.

The previous prime is 10742372334719. The next prime is 10742372334769. The reversal of 10742372334720 is 2743327324701.

It is a happy number.

10742372334720 is a `hidden beast` number, since 1 + 0 + 74 + 237 + 2 + 3 + 347 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6183259131456 + 4559113203264 = 2486616^2 + 2135208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71655705 + ... + 71805464.

Almost surely, 2^{10742372334720} is an apocalyptic number.

10742372334720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10742372334720 is an abundant number, since it is smaller than the sum of its proper divisors (29205825063480).

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

10742372334720 is a wasteful number, since it uses less digits than its factorization.

10742372334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143461207 (or 143461192 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 10742372334720 in words is "ten trillion, seven hundred forty-two billion, three hundred seventy-two million, three hundred thirty-four thousand, seven hundred twenty".