377722130311680 has 1920 divisors, whose sum is σ = 1580992170024960. Its totient is φ = 76017101045760.

The previous prime is 377722130311651. The next prime is 377722130311733. The reversal of 377722130311680 is 86113031227773.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34155173991 + ... + 34155185049.

It is an arithmetic number, because the mean of its divisors is an integer number (823433421888).

Almost surely, 2^{377722130311680} is an apocalyptic number.

377722130311680 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 377722130311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790496085012480).

377722130311680 is an abundant number, since it is smaller than the sum of its proper divisors (1203270039713280).

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

377722130311680 is a wasteful number, since it uses less digits than its factorization.

377722130311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370 (or 11347 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 377722130311680 in words is "three hundred seventy-seven trillion, seven hundred twenty-two billion, one hundred thirty million, three hundred eleven thousand, six hundred eighty".