6414946560 has 864 divisors, whose sum is σ = 26447855616. Its totient is φ = 1419264000.

The previous prime is 6414946547. The next prime is 6414946627. The reversal of 6414946560 is 656494146.

It is a happy number.

6414946560 is a `hidden beast` number, since 6 + 4 + 1 + 49 + 46 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 90351325 + ... + 90351395.

It is an arithmetic number, because the mean of its divisors is an integer number (30610944).

Almost surely, 2^6414946560 is an apocalyptic number.

6414946560 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 6414946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13223927808).

6414946560 is an abundant number, since it is smaller than the sum of its proper divisors (20032909056).

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

6414946560 is a wasteful number, since it uses less digits than its factorization.

6414946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6414946560 is about 80093.3615226630. The cubic root of 6414946560 is about 1858.0797386372.

The spelling of 6414946560 in words is "six billion, four hundred fourteen million, nine hundred forty-six thousand, five hundred sixty".