4856997600 has 864 divisors, whose sum is σ = 22068275040. Its totient is φ = 1021870080.

The previous prime is 4856997589. The next prime is 4856997601. The reversal of 4856997600 is 67996584.

4856997600 is a `hidden beast` number, since 4 + 8 + 569 + 9 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (4856997601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13759024 + ... + 13759376.

It is an arithmetic number, because the mean of its divisors is an integer number (25541985).

Almost surely, 2^4856997600 is an apocalyptic number.

4856997600 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 4856997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11034137520).

4856997600 is an abundant number, since it is smaller than the sum of its proper divisors (17211277440).

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

4856997600 is a wasteful number, since it uses less digits than its factorization.

4856997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 4856997600 is about 69692.1631175271. The cubic root of 4856997600 is about 1693.5159694440.

The spelling of 4856997600 in words is "four billion, eight hundred fifty-six million, nine hundred ninety-seven thousand, six hundred".