743993162820 has 72 divisors (see below), whose sum is σ = 2259502004760. Its totient is φ = 198158814720.

The previous prime is 743993162807. The next prime is 743993162881. The reversal of 743993162820 is 28261399347.

743993162820 is a `hidden beast` number, since 7 + 4 + 3 + 9 + 9 + 3 + 1 + 628 + 2 + 0 = 666.

743993162820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 127055176704 + 616937986116 = 356448^2 + 785454^2 .

It is a super-3 number, since 3×743993162820³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2343721 + ... + 2642160.

Almost surely, 2^743993162820 is an apocalyptic number.

It is an amenable number.

743993162820 is an abundant number, since it is smaller than the sum of its proper divisors (1515508841940).

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

743993162820 is a wasteful number, since it uses less digits than its factorization.

743993162820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986725 (or 4986720 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 743993162820 in words is "seven hundred forty-three billion, nine hundred ninety-three million, one hundred sixty-two thousand, eight hundred twenty".