6261053760 has 560 divisors, whose sum is σ = 25418984976. Its totient is φ = 1449197568.

The previous prime is 6261053719. The next prime is 6261053761. The reversal of 6261053760 is 673501626.

6261053760 is a `hidden beast` number, since 6 + 2 + 61 + 0 + 537 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 281434176 + 5979619584 = 16776^2 + 77328^2 .

It is a super-2 number, since 2×6261053760² = 78401588371220275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6261053761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5727774 + ... + 5728866.

Almost surely, 2^6261053760 is an apocalyptic number.

6261053760 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 6261053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12709492488).

6261053760 is an abundant number, since it is smaller than the sum of its proper divisors (19157931216).

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

6261053760 is a wasteful number, since it uses less digits than its factorization.

6261053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6261053760 is about 79126.8207373454. The cubic root of 6261053760 is about 1843.1010404227.

The spelling of 6261053760 in words is "six billion, two hundred sixty-one million, fifty-three thousand, seven hundred sixty".