4182776496 has 240 divisors, whose sum is σ = 12583194624. Its totient is φ = 1344252672.

The previous prime is 4182776491. The next prime is 4182776501. The reversal of 4182776496 is 6946772814.

4182776496 is a `hidden beast` number, since 4 + 1 + 82 + 7 + 76 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (4182776491) and next prime (4182776501).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182776491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21232270 + ... + 21232466.

Almost surely, 2^4182776496 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 4182776496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291597312).

4182776496 is an abundant number, since it is smaller than the sum of its proper divisors (8400418128).

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

4182776496 is a wasteful number, since it uses less digits than its factorization.

4182776496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 4182776496 is about 64674.3882537748. The cubic root of 4182776496 is about 1611.2201565483.

The spelling of 4182776496 in words is "four billion, one hundred eighty-two million, seven hundred seventy-six thousand, four hundred ninety-six".