6756232560 has 640 divisors, whose sum is σ = 27586234368. Its totient is φ = 1327104000.

The previous prime is 6756232559. The next prime is 6756232577. The reversal of 6756232560 is 652326576.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28034040 + ... + 28034280.

Almost surely, 2^6756232560 is an apocalyptic number.

6756232560 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 6756232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793117184).

6756232560 is an abundant number, since it is smaller than the sum of its proper divisors (20830001808).

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

6756232560 is a wasteful number, since it uses less digits than its factorization.

6756232560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 6756232560 is about 82196.3050264426. The cubic root of 6756232560 is about 1890.4630650585.

The spelling of 6756232560 in words is "six billion, seven hundred fifty-six million, two hundred thirty-two thousand, five hundred sixty".