6457961300 has 144 divisors (see below), whose sum is σ = 17011827840. Its totient is φ = 2078576640.

The previous prime is 6457961299. The next prime is 6457961381. The reversal of 6457961300 is 31697546.

It is a congruent number.

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, 1500752 + ... + 1505048.

Almost surely, 2^6457961300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6457961300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505913920).

6457961300 is an abundant number, since it is smaller than the sum of its proper divisors (10553866540).

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

6457961300 is a wasteful number, since it uses less digits than its factorization.

6457961300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 6457961300 is about 80361.4416246996. The cubic root of 6457961300 is about 1862.2235422885.

The spelling of 6457961300 in words is "six billion, four hundred fifty-seven million, nine hundred sixty-one thousand, three hundred".