30721340707200 has 5376 divisors, whose sum is σ = 145619267270400. Its totient is φ = 6288482304000.

The previous prime is 30721340707193. The next prime is 30721340707229. The reversal of 30721340707200 is 270704312703.

It is a happy number.

30721340707200 is a `hidden beast` number, since 30 + 7 + 2 + 13 + 407 + 0 + 7 + 200 = 666.

It is a super-2 number, since 2×30721340707200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 234514051135 + ... + 234514051265.

It is an arithmetic number, because the mean of its divisors is an integer number (27086917275).

Almost surely, 2^{30721340707200} is an apocalyptic number.

30721340707200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30721340707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72809633635200).

30721340707200 is an abundant number, since it is smaller than the sum of its proper divisors (114897926563200).

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

30721340707200 is a wasteful number, since it uses less digits than its factorization.

30721340707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 30721340707200 in words is "thirty trillion, seven hundred twenty-one billion, three hundred forty million, seven hundred seven thousand, two hundred".