4377481164 has 384 divisors, whose sum is σ = 14631321600. Its totient is φ = 1102464000.

The previous prime is 4377481133. The next prime is 4377481169. The reversal of 4377481164 is 4611847734.

4377481164 is a `hidden beast` number, since 4 + 3 + 7 + 7 + 481 + 164 = 666.

It is not an unprimeable number, because it can be changed into a prime (4377481169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17440039 + ... + 17440289.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 2^4377481164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4377481164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

4377481164 is an abundant number, since it is smaller than the sum of its proper divisors (10253840436).

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

4377481164 is a wasteful number, since it uses less digits than its factorization.

4377481164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 4377481164 is about 66162.5359550252. The cubic root of 4377481164 is about 1635.8422795966.

The spelling of 4377481164 in words is "four billion, three hundred seventy-seven million, four hundred eighty-one thousand, one hundred sixty-four".