30761740830720 has 768 divisors, whose sum is σ = 105216498616320. Its totient is φ = 7655863615488.

The previous prime is 30761740830707. The next prime is 30761740830763. The reversal of 30761740830720 is 2703804716703.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30761740830720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5065325604 + ... + 5065331676.

It is an arithmetic number, because the mean of its divisors is an integer number (137000649240).

Almost surely, 2^{30761740830720} is an apocalyptic number.

30761740830720 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 30761740830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52608249308160).

30761740830720 is an abundant number, since it is smaller than the sum of its proper divisors (74454757785600).

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

30761740830720 is a wasteful number, since it uses less digits than its factorization.

30761740830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 30761740830720 in words is "thirty trillion, seven hundred sixty-one billion, seven hundred forty million, eight hundred thirty thousand, seven hundred twenty".