30729693891456 has 192 divisors, whose sum is σ = 101232631543680. Its totient is φ = 8764953928704.

The previous prime is 30729693891431. The next prime is 30729693891461. The reversal of 30729693891456 is 65419839692703.

30729693891456 is a `hidden beast` number, since 3 + 0 + 7 + 2 + 9 + 6 + 93 + 89 + 1 + 456 = 666.

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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1487635 + ... + 7979501.

It is an arithmetic number, because the mean of its divisors is an integer number (527253289290).

It is a 1-persistent number, because it is pandigital, but 2⋅30729693891456 = 61459387782912 is not.

Almost surely, 2^{30729693891456} is an apocalyptic number.

30729693891456 is a gapful number since it is divisible by the number (36) 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 30729693891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50616315771840).

30729693891456 is an abundant number, since it is smaller than the sum of its proper divisors (70502937652224).

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

30729693891456 is a wasteful number, since it uses less digits than its factorization.

30729693891456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492481 (or 6492466 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 30729693891456 in words is "thirty trillion, seven hundred twenty-nine billion, six hundred ninety-three million, eight hundred ninety-one thousand, four hundred fifty-six".