6725077920 has 384 divisors, whose sum is σ = 25890036480. Its totient is φ = 1616855040.

The previous prime is 6725077817. The next prime is 6725077927. The reversal of 6725077920 is 297705276.

6725077920 is a `hidden beast` number, since 6 + 72 + 507 + 79 + 2 + 0 = 666.

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 (6725077927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6509724 + ... + 6510756.

It is an arithmetic number, because the mean of its divisors is an integer number (67421970).

Almost surely, 2^6725077920 is an apocalyptic number.

6725077920 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 6725077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12945018240).

6725077920 is an abundant number, since it is smaller than the sum of its proper divisors (19164958560).

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

6725077920 is a wasteful number, since it uses less digits than its factorization.

6725077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1191 counting only the distinct ones).

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

The square root of 6725077920 is about 82006.5724195323. The cubic root of 6725077920 is about 1887.5527913542.

The spelling of 6725077920 in words is "six billion, seven hundred twenty-five million, seventy-seven thousand, nine hundred twenty".