6134630610 has 128 divisors (see below), whose sum is σ = 16130949120. Its totient is φ = 1488326400.

The previous prime is 6134630581. The next prime is 6134630627. The reversal of 6134630610 is 160364316.

It is a super-4 number, since 4×6134630610⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1259580 + ... + 1264440.

It is an arithmetic number, because the mean of its divisors is an integer number (126023040).

Almost surely, 2^6134630610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6134630610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8065474560).

6134630610 is an abundant number, since it is smaller than the sum of its proper divisors (9996318510).

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

6134630610 is a wasteful number, since it uses less digits than its factorization.

6134630610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6134630610 is about 78323.8827561555. The cubic root of 6134630610 is about 1830.6113010460.

Adding to 6134630610 its reverse (160364316), we get a palindrome (6294994926).

The spelling of 6134630610 in words is "six billion, one hundred thirty-four million, six hundred thirty thousand, six hundred ten".