30023768600640 has 672 divisors, whose sum is σ = 106890615336960. Its totient is φ = 7730049024000.

The previous prime is 30023768600633. The next prime is 30023768600659. The reversal of 30023768600640 is 4600686732003.

30023768600640 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 37 + 6 + 8 + 600 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4938929121 + ... + 4938935199.

It is an arithmetic number, because the mean of its divisors is an integer number (159063415680).

Almost surely, 2^{30023768600640} is an apocalyptic number.

30023768600640 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 30023768600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53445307668480).

30023768600640 is an abundant number, since it is smaller than the sum of its proper divisors (76866846736320).

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

30023768600640 is a wasteful number, since it uses less digits than its factorization.

30023768600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 30023768600640 in words is "thirty trillion, twenty-three billion, seven hundred sixty-eight million, six hundred thousand, six hundred forty".