6634010460 has 288 divisors, whose sum is σ = 23905986048. Its totient is φ = 1334430720.

The previous prime is 6634010443. The next prime is 6634010483. The reversal of 6634010460 is 640104366.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33675082 + ... + 33675278.

It is an arithmetic number, because the mean of its divisors is an integer number (83006896).

Almost surely, 2^6634010460 is an apocalyptic number.

6634010460 is a gapful number since it is divisible by the number (60) 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 6634010460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952993024).

6634010460 is an abundant number, since it is smaller than the sum of its proper divisors (17271975588).

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

6634010460 is a wasteful number, since it uses less digits than its factorization.

6634010460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6634010460 is about 81449.4349888322. The cubic root of 6634010460 is about 1878.9939596232.

The spelling of 6634010460 in words is "six billion, six hundred thirty-four million, ten thousand, four hundred sixty".