6130177320960 has 1536 divisors, whose sum is σ = 27446443315200. Its totient is φ = 1260748800000.

The previous prime is 6130177320899. The next prime is 6130177321007. The reversal of 6130177320960 is 690237710316.

6130177320960 is a `hidden beast` number, since 613 + 0 + 1 + 7 + 7 + 3 + 20 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 2150183535 + ... + 2150186385.

It is an arithmetic number, because the mean of its divisors is an integer number (17868778200).

Almost surely, 2^{6130177320960} is an apocalyptic number.

6130177320960 is a gapful number since it is divisible by the number (60) 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 6130177320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723221657600).

6130177320960 is an abundant number, since it is smaller than the sum of its proper divisors (21316265994240).

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

6130177320960 is a wasteful number, since it uses less digits than its factorization.

6130177320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 6130177320960 in words is "six trillion, one hundred thirty billion, one hundred seventy-seven million, three hundred twenty thousand, nine hundred sixty".