4813008536700 has 864 divisors, whose sum is σ = 18784814944896. Its totient is φ = 1003662213120.

The previous prime is 4813008536671. The next prime is 4813008536729. The reversal of 4813008536700 is 76358003184.

4813008536700 is a `hidden beast` number, since 4 + 81 + 30 + 0 + 8 + 536 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4813008536671) and next prime (4813008536729).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5488036662 + ... + 5488037538.

It is an arithmetic number, because the mean of its divisors is an integer number (21741683964).

Almost surely, 2^{4813008536700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4813008536700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9392407472448).

4813008536700 is an abundant number, since it is smaller than the sum of its proper divisors (13971806408196).

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

4813008536700 is a wasteful number, since it uses less digits than its factorization.

4813008536700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1613 counting only the distinct ones).

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

The spelling of 4813008536700 in words is "four trillion, eight hundred thirteen billion, eight million, five hundred thirty-six thousand, seven hundred".