723427511040 has 2160 divisors, whose sum is σ = 3079510267680. Its totient is φ = 161482014720.

The previous prime is 723427511017. The next prime is 723427511077. The reversal of 723427511040 is 40115724327.

723427511040 is a `hidden beast` number, since 7 + 234 + 275 + 110 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 723427510986 and 723427511004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13649575654 + ... + 13649575706.

It is an arithmetic number, because the mean of its divisors is an integer number (1425699198).

Almost surely, 2^723427511040 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 723427511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539755133840).

723427511040 is an abundant number, since it is smaller than the sum of its proper divisors (2356082756640).

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

723427511040 is a wasteful number, since it uses less digits than its factorization.

723427511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 723427511040 in words is "seven hundred twenty-three billion, four hundred twenty-seven million, five hundred eleven thousand, forty".