30720915456 has 192 divisors, whose sum is σ = 102113706240. Its totient is φ = 7979335680.

The previous prime is 30720915439. The next prime is 30720915469. The reversal of 30720915456 is 65451902703.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440620 + ... + 505556.

It is an arithmetic number, because the mean of its divisors is an integer number (531842220).

Almost surely, 2^30720915456 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 30720915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51056853120).

30720915456 is an abundant number, since it is smaller than the sum of its proper divisors (71392790784).

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

30720915456 is a wasteful number, since it uses less digits than its factorization.

30720915456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64980 (or 64960 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 30720915456 in words is "thirty billion, seven hundred twenty million, nine hundred fifteen thousand, four hundred fifty-six".