6537922560 has 768 divisors, whose sum is σ = 26747884800. Its totient is φ = 1500512256.

The previous prime is 6537922519. The next prime is 6537922561. The reversal of 6537922560 is 652297356.

6537922560 is a `hidden beast` number, since 6 + 537 + 92 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (6537922561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61102027 + ... + 61102133.

It is an arithmetic number, because the mean of its divisors is an integer number (34827975).

Almost surely, 2^6537922560 is an apocalyptic number.

6537922560 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 6537922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373942400).

6537922560 is an abundant number, since it is smaller than the sum of its proper divisors (20209962240).

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

6537922560 is a wasteful number, since it uses less digits than its factorization.

6537922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 6537922560 is about 80857.4211807426. The cubic root of 6537922560 is about 1869.8779372603.

The spelling of 6537922560 in words is "six billion, five hundred thirty-seven million, nine hundred twenty-two thousand, five hundred sixty".