30693848739840 has 1248 divisors, whose sum is σ = 125607551247360. Its totient is φ = 6834762547200.

The previous prime is 30693848739839. The next prime is 30693848739893. The reversal of 30693848739840 is 4893784839603.

30693848739840 is a `hidden beast` number, since 3 + 0 + 6 + 9 + 38 + 487 + 39 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×30693848739840² (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 a congruent number.

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, 5561484601 + ... + 5561490119.

It is an arithmetic number, because the mean of its divisors is an integer number (100647076320).

Almost surely, 2^{30693848739840} is an apocalyptic number.

30693848739840 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 30693848739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62803775623680).

30693848739840 is an abundant number, since it is smaller than the sum of its proper divisors (94913702507520).

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

30693848739840 is a wasteful number, since it uses less digits than its factorization.

30693848739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 30693848739840 in words is "thirty trillion, six hundred ninety-three billion, eight hundred forty-eight million, seven hundred thirty-nine thousand, eight hundred forty".