4965787200 has 168 divisors, whose sum is σ = 17773192800. Its totient is φ = 1203814400.

The previous prime is 4965787181. The next prime is 4965787207. The reversal of 4965787200 is 27875694.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4965787200.

It is not an unprimeable number, because it can be changed into a prime (4965787207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5776 + ... + 99824.

Almost surely, 2^4965787200 is an apocalyptic number.

4965787200 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 4965787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886596400).

4965787200 is an abundant number, since it is smaller than the sum of its proper divisors (12807405600).

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

4965787200 is a wasteful number, since it uses less digits than its factorization.

4965787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94085 (or 94070 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 4965787200 is about 70468.3418280862. The cubic root of 4965787200 is about 1706.0668125730.

The spelling of 4965787200 in words is "four billion, nine hundred sixty-five million, seven hundred eighty-seven thousand, two hundred".