4878792000 has 280 divisors, whose sum is σ = 18051307560. Its totient is φ = 1300838400.

The previous prime is 4878791999. The next prime is 4878792011. The reversal of 4878792000 is 2978784.

4878792000 is a `hidden beast` number, since 487 + 87 + 92 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424030464 + 4454761536 = 20592^2 + 66744^2 .

It is a super-2 number, since 2×4878792000² = 47605222758528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 644236 + ... + 651764.

Almost surely, 2^4878792000 is an apocalyptic number.

4878792000 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 4878792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025653780).

4878792000 is an abundant number, since it is smaller than the sum of its proper divisors (13172515560).

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

4878792000 is an equidigital number, since it uses as much as digits as its factorization.

4878792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7568 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4878792000 is about 69848.3500163032. The cubic root of 4878792000 is about 1696.0452476952.

The spelling of 4878792000 in words is "four billion, eight hundred seventy-eight million, seven hundred ninety-two thousand".