4947625800 has 576 divisors, whose sum is σ = 19108776960. Its totient is φ = 1181952000.

The previous prime is 4947625777. The next prime is 4947625801. The reversal of 4947625800 is 85267494.

It is a happy number.

4947625800 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 62 + 580 + 0 = 666.

It is a super-3 number, since 3×4947625800³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4947625801) 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, 25903705 + ... + 25903895.

It is an arithmetic number, because the mean of its divisors is an integer number (33174960).

Almost surely, 2^4947625800 is an apocalyptic number.

4947625800 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 4947625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9554388480).

4947625800 is an abundant number, since it is smaller than the sum of its proper divisors (14161151160).

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

4947625800 is a wasteful number, since it uses less digits than its factorization.

4947625800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4947625800 is about 70339.3616689830. The cubic root of 4947625800 is about 1703.9844027535.

The spelling of 4947625800 in words is "four billion, nine hundred forty-seven million, six hundred twenty-five thousand, eight hundred".