4077978576 has 320 divisors, whose sum is σ = 12959170560. Its totient is φ = 1080668160.

The previous prime is 4077978563. The next prime is 4077978589. The reversal of 4077978576 is 6758797704.

It is an interprime number because it is at equal distance from previous prime (4077978563) and next prime (4077978589).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45819940 + ... + 45820028.

It is an arithmetic number, because the mean of its divisors is an integer number (40497408).

Almost surely, 2^4077978576 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 4077978576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479585280).

4077978576 is an abundant number, since it is smaller than the sum of its proper divisors (8881191984).

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

4077978576 is a wasteful number, since it uses less digits than its factorization.

4077978576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 60.

The square root of 4077978576 is about 63859.0524201542. The cubic root of 4077978576 is about 1597.6500105750.

The spelling of 4077978576 in words is "four billion, seventy-seven million, nine hundred seventy-eight thousand, five hundred seventy-six".