4477779738432 has 1792 divisors, whose sum is σ = 18827569152000. Its totient is φ = 1026468495360.

The previous prime is 4477779738413. The next prime is 4477779738461. The reversal of 4477779738432 is 2348379777744.

4477779738432 is a `hidden beast` number, since 4 + 4 + 7 + 7 + 77 + 97 + 38 + 432 = 666.

It is a super-2 number, since 2×4477779738432² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1949402308 + ... + 1949404604.

It is an arithmetic number, because the mean of its divisors is an integer number (10506456000).

Almost surely, 2^{4477779738432} is an apocalyptic number.

4477779738432 is a gapful number since it is divisible by the number (42) 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 4477779738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9413784576000).

4477779738432 is an abundant number, since it is smaller than the sum of its proper divisors (14349789413568).

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

4477779738432 is a wasteful number, since it uses less digits than its factorization.

4477779738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2356 counting only the distinct ones).

The product of its digits is 1394039808, while the sum is 72.

The spelling of 4477779738432 in words is "four trillion, four hundred seventy-seven billion, seven hundred seventy-nine million, seven hundred thirty-eight thousand, four hundred thirty-two".