6460641300 has 72 divisors (see below), whose sum is σ = 18746050176. Its totient is φ = 1717928960.

The previous prime is 6460641293. The next prime is 6460641337. The reversal of 6460641300 is 31460646.

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 23 ways as a sum of consecutive naturals, for example, 75397 + ... + 136403.

It is an arithmetic number, because the mean of its divisors is an integer number (260361808).

Almost surely, 2^6460641300 is an apocalyptic number.

6460641300 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 6460641300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373025088).

6460641300 is an abundant number, since it is smaller than the sum of its proper divisors (12285408876).

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

6460641300 is a wasteful number, since it uses less digits than its factorization.

6460641300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61377 (or 61370 counting only the distinct ones).

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

The square root of 6460641300 is about 80378.1145586285. The cubic root of 6460641300 is about 1862.4811090677.

The spelling of 6460641300 in words is "six billion, four hundred sixty million, six hundred forty-one thousand, three hundred".