30977842830480 has 800 divisors, whose sum is σ = 138176665127424. Its totient is φ = 6251808448512.

The previous prime is 30977842830443. The next prime is 30977842830481. The reversal of 30977842830480 is 8403824877903.

30977842830480 is a `hidden beast` number, since 3 + 0 + 9 + 7 + 78 + 4 + 2 + 83 + 0 + 480 = 666.

It is a super-2 number, since 2×30977842830480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (30977842830481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12420612 + ... + 14704668.

Almost surely, 2^{30977842830480} is an apocalyptic number.

30977842830480 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 30977842830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69088332563712).

30977842830480 is an abundant number, since it is smaller than the sum of its proper divisors (107198822296944).

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

30977842830480 is a wasteful number, since it uses less digits than its factorization.

30977842830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284125 (or 2284110 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 30977842830480 in words is "thirty trillion, nine hundred seventy-seven billion, eight hundred forty-two million, eight hundred thirty thousand, four hundred eighty".