720138123936 has 384 divisors, whose sum is σ = 2657785374720. Its totient is φ = 184255948800.

The previous prime is 720138123931. The next prime is 720138123977. The reversal of 720138123936 is 639321831027.

720138123936 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 381 + 239 + 36 = 666.

It is a super-2 number, since 2×720138123936² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 720138123891 and 720138123900.

It is not an unprimeable number, because it can be changed into a prime (720138123931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4376596 + ... + 4538156.

It is an arithmetic number, because the mean of its divisors is an integer number (6921316080).

Almost surely, 2^720138123936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720138123936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328892687360).

720138123936 is an abundant number, since it is smaller than the sum of its proper divisors (1937647250784).

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

720138123936 is a wasteful number, since it uses less digits than its factorization.

720138123936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161665 (or 161651 counting only the distinct ones).

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

The spelling of 720138123936 in words is "seven hundred twenty billion, one hundred thirty-eight million, one hundred twenty-three thousand, nine hundred thirty-six".