30723201504 has 144 divisors (see below), whose sum is σ = 90872636400. Its totient is φ = 10210821120.

The previous prime is 30723201503. The next prime is 30723201517. The reversal of 30723201504 is 40510232703.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30723201504² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30723201503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708164 + ... + 2719484.

It is an arithmetic number, because the mean of its divisors is an integer number (631059975).

Almost surely, 2^30723201504 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 30723201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45436318200).

30723201504 is an abundant number, since it is smaller than the sum of its proper divisors (60149434896).

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

30723201504 is a wasteful number, since it uses less digits than its factorization.

30723201504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11695 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 30723201504 in words is "thirty billion, seven hundred twenty-three million, two hundred one thousand, five hundred four".