30720689456688 has 480 divisors, whose sum is σ = 107423539691520. Its totient is φ = 7962034890240.

The previous prime is 30720689456629. The next prime is 30720689456707. The reversal of 30720689456688 is 88665498602703.

30720689456688 is a `hidden beast` number, since 30 + 7 + 2 + 0 + 6 + 89 + 456 + 68 + 8 = 666.

It is a super-2 number, since 2×30720689456688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17584824231 + ... + 17584825977.

It is an arithmetic number, because the mean of its divisors is an integer number (223799041024).

Almost surely, 2^{30720689456688} 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 30720689456688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53711769845760).

30720689456688 is an abundant number, since it is smaller than the sum of its proper divisors (76702850234832).

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

30720689456688 is a wasteful number, since it uses less digits than its factorization.

30720689456688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 30720689456688 in words is "thirty trillion, seven hundred twenty billion, six hundred eighty-nine million, four hundred fifty-six thousand, six hundred eighty-eight".