4935468510 has 256 divisors, whose sum is σ = 15424081920. Its totient is φ = 1113585408.

The previous prime is 4935468497. The next prime is 4935468523. The reversal of 4935468510 is 158645394.

4935468510 is a `hidden beast` number, since 4 + 93 + 5 + 46 + 8 + 510 = 666.

It is an interprime number because it is at equal distance from previous prime (4935468497) and next prime (4935468523).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15768114 + ... + 15768426.

It is an arithmetic number, because the mean of its divisors is an integer number (60250320).

Almost surely, 2^4935468510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4935468510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712040960).

4935468510 is an abundant number, since it is smaller than the sum of its proper divisors (10488613410).

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

4935468510 is a wasteful number, since it uses less digits than its factorization.

4935468510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4935468510 is about 70252.8896914568. The cubic root of 4935468510 is about 1702.5875830664.

The spelling of 4935468510 in words is "four billion, nine hundred thirty-five million, four hundred sixty-eight thousand, five hundred ten".