724006010880 has 1088 divisors, whose sum is σ = 2793385152000. Its totient is φ = 177343561728.

The previous prime is 724006010869. The next prime is 724006010887. The reversal of 724006010880 is 88010600427.

724006010880 is a `hidden beast` number, since 7 + 2 + 40 + 0 + 601 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724006010887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9917890524 + ... + 9917890596.

Almost surely, 2^724006010880 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 724006010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396692576000).

724006010880 is an abundant number, since it is smaller than the sum of its proper divisors (2069379141120).

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

724006010880 is an equidigital number, since it uses as much as digits as its factorization.

724006010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 724006010880 in words is "seven hundred twenty-four billion, six million, ten thousand, eight hundred eighty".