305378311680 has 1280 divisors, whose sum is σ = 1271518617600. Its totient is φ = 68797071360.

The previous prime is 305378311619. The next prime is 305378311703. The reversal of 305378311680 is 86113873503.

305378311680 is a `hidden beast` number, since 3 + 0 + 537 + 8 + 31 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529251552 + ... + 529252128.

It is an arithmetic number, because the mean of its divisors is an integer number (993373920).

Almost surely, 2^305378311680 is an apocalyptic number.

305378311680 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 305378311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635759308800).

305378311680 is an abundant number, since it is smaller than the sum of its proper divisors (966140305920).

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

305378311680 is a wasteful number, since it uses less digits than its factorization.

305378311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 305378311680 in words is "three hundred five billion, three hundred seventy-eight million, three hundred eleven thousand, six hundred eighty".