6493772160 has 256 divisors, whose sum is σ = 24000192000. Its totient is φ = 1656281088.

The previous prime is 6493772111. The next prime is 6493772239. The reversal of 6493772160 is 612773946.

6493772160 is a `hidden beast` number, since 64 + 9 + 377 + 216 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389271 + ... + 405609.

It is an arithmetic number, because the mean of its divisors is an integer number (93750750).

Almost surely, 2^6493772160 is an apocalyptic number.

6493772160 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 6493772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000096000).

6493772160 is an abundant number, since it is smaller than the sum of its proper divisors (17506419840).

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

6493772160 is a wasteful number, since it uses less digits than its factorization.

6493772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16390 (or 16372 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6493772160 is about 80583.9448029196. The cubic root of 6493772160 is about 1865.6593499395.

The spelling of 6493772160 in words is "six billion, four hundred ninety-three million, seven hundred seventy-two thousand, one hundred sixty".