6460350600 has 192 divisors, whose sum is σ = 21911186880. Its totient is φ = 1561600000.

The previous prime is 6460350599. The next prime is 6460350613. The reversal of 6460350600 is 60530646.

It is a super-2 number, since 2×6460350600² = 83472259749840720000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2645380 + ... + 2647820.

It is an arithmetic number, because the mean of its divisors is an integer number (114120765).

Almost surely, 2^6460350600 is an apocalyptic number.

6460350600 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 6460350600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955593440).

6460350600 is an abundant number, since it is smaller than the sum of its proper divisors (15450836280).

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

6460350600 is a wasteful number, since it uses less digits than its factorization.

6460350600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 6460350600 is about 80376.3062102259. The cubic root of 6460350600 is about 1862.4531742052.

The spelling of 6460350600 in words is "six billion, four hundred sixty million, three hundred fifty thousand, six hundred".