30747653800416 has 576 divisors, whose sum is σ = 105862430640960. Its totient is φ = 8655611166720.

The previous prime is 30747653800363. The next prime is 30747653800447. The reversal of 30747653800416 is 61400835674703.

It is a happy number.

30747653800416 is a `hidden beast` number, since 3 + 0 + 7 + 476 + 53 + 80 + 0 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3279045520 + ... + 3279054896.

It is an arithmetic number, because the mean of its divisors is an integer number (183788942085).

Almost surely, 2^{30747653800416} is an apocalyptic number.

30747653800416 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 30747653800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52931215320480).

30747653800416 is an abundant number, since it is smaller than the sum of its proper divisors (75114776840544).

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

30747653800416 is a wasteful number, since it uses less digits than its factorization.

30747653800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 30747653800416 in words is "thirty trillion, seven hundred forty-seven billion, six hundred fifty-three million, eight hundred thousand, four hundred sixteen".