4152780576 has 384 divisors, whose sum is σ = 14382144000. Its totient is φ = 1179650304.

The previous prime is 4152780563. The next prime is 4152780601. The reversal of 4152780576 is 6750872514.

4152780576 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 78 + 0 + 576 = 666.

4152780576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24004426 + ... + 24004598.

It is an arithmetic number, because the mean of its divisors is an integer number (37453500).

Almost surely, 2^4152780576 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 4152780576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191072000).

4152780576 is an abundant number, since it is smaller than the sum of its proper divisors (10229363424).

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

4152780576 is an frugal number, since it uses more digits than its factorization.

4152780576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 4152780576 is about 64442.0714750853. The cubic root of 4152780576 is about 1607.3594017703.

The spelling of 4152780576 in words is "four billion, one hundred fifty-two million, seven hundred eighty thousand, five hundred seventy-six".