4953780000 has 720 divisors, whose sum is σ = 19879980120. Its totient is φ = 1161216000.

The previous prime is 4953779977. The next prime is 4953780047. The reversal of 4953780000 is 873594.

4953780000 is a `hidden beast` number, since 49 + 537 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 2676199824 + 2277580176 = 51732^2 + 47724^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67859964 + ... + 67860036.

Almost surely, 2^4953780000 is an apocalyptic number.

4953780000 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 4953780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939990060).

4953780000 is an abundant number, since it is smaller than the sum of its proper divisors (14926200120).

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

4953780000 is a wasteful number, since it uses less digits than its factorization.

4953780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4953780000 is about 70383.0945611231. The cubic root of 4953780000 is about 1704.6906213336.

The spelling of 4953780000 in words is "four billion, nine hundred fifty-three million, seven hundred eighty thousand".