4377056640 has 512 divisors, whose sum is σ = 16434109440. Its totient is φ = 979107840.

The previous prime is 4377056633. The next prime is 4377056641. The reversal of 4377056640 is 466507734.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4377056592 and 4377056601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4377056641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26209837 + ... + 26210003.

It is an arithmetic number, because the mean of its divisors is an integer number (32097870).

Almost surely, 2^4377056640 is an apocalyptic number.

4377056640 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 4377056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8217054720).

4377056640 is an abundant number, since it is smaller than the sum of its proper divisors (12057052800).

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

4377056640 is a wasteful number, since it uses less digits than its factorization.

4377056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 4377056640 is about 66159.3276870314. The cubic root of 4377056640 is about 1635.7893970726.

The spelling of 4377056640 in words is "four billion, three hundred seventy-seven million, fifty-six thousand, six hundred forty".