6757290720 has 432 divisors, whose sum is σ = 25178746320. Its totient is φ = 1645608960.

The previous prime is 6757290719. The next prime is 6757290821. The reversal of 6757290720 is 270927576.

6757290720 is a `hidden beast` number, since 6 + 7 + 572 + 9 + 0 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26292832 + ... + 26293088.

It is an arithmetic number, because the mean of its divisors is an integer number (58284135).

Almost surely, 2^6757290720 is an apocalyptic number.

6757290720 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 6757290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589373160).

6757290720 is an abundant number, since it is smaller than the sum of its proper divisors (18421455600).

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

6757290720 is a wasteful number, since it uses less digits than its factorization.

6757290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 6757290720 is about 82202.7415601207. The cubic root of 6757290720 is about 1890.5617545749.

The spelling of 6757290720 in words is "six billion, seven hundred fifty-seven million, two hundred ninety thousand, seven hundred twenty".