445277029680 has 960 divisors, whose sum is σ = 1851731481600. Its totient is φ = 99346673664.

The previous prime is 445277029661. The next prime is 445277029787. The reversal of 445277029680 is 86920772544.

445277029680 is a `hidden beast` number, since 4 + 4 + 5 + 277 + 0 + 296 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286719784 + ... + 286721336.

It is an arithmetic number, because the mean of its divisors is an integer number (1928886960).

Almost surely, 2^445277029680 is an apocalyptic number.

445277029680 is a gapful number since it is divisible by the number (40) 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 445277029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925865740800).

445277029680 is an abundant number, since it is smaller than the sum of its proper divisors (1406454451920).

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

445277029680 is a wasteful number, since it uses less digits than its factorization.

445277029680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 445277029680 in words is "four hundred forty-five billion, two hundred seventy-seven million, twenty-nine thousand, six hundred eighty".