6461922720 has 576 divisors, whose sum is σ = 23964208128. Its totient is φ = 1459814400.

The previous prime is 6461922673. The next prime is 6461922721. The reversal of 6461922720 is 272291646.

It is not an unprimeable number, because it can be changed into a prime (6461922721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66617712 + ... + 66617808.

It is an arithmetic number, because the mean of its divisors is an integer number (41604528).

Almost surely, 2^6461922720 is an apocalyptic number.

6461922720 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 6461922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982104064).

6461922720 is an abundant number, since it is smaller than the sum of its proper divisors (17502285408).

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

6461922720 is a wasteful number, since it uses less digits than its factorization.

6461922720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6461922720 is about 80386.0853630776. The cubic root of 6461922720 is about 1862.6042373383.

The spelling of 6461922720 in words is "six billion, four hundred sixty-one million, nine hundred twenty-two thousand, seven hundred twenty".