6938764560 has 900 divisors, whose sum is σ = 30944714724. Its totient is φ = 1428295680.

The previous prime is 6938764541. The next prime is 6938764597. The reversal of 6938764560 is 654678396.

6938764560 is a `hidden beast` number, since 6 + 9 + 3 + 8 + 76 + 4 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3780774144 + 3157990416 = 61488^2 + 56196^2 .

It is a super-2 number, since 2×6938764560² = 96292907238223987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6938764497 and 6938764506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 169238140 + ... + 169238180.

Almost surely, 2^6938764560 is an apocalyptic number.

6938764560 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 6938764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472357362).

6938764560 is an abundant number, since it is smaller than the sum of its proper divisors (24005950164).

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

6938764560 is a wasteful number, since it uses less digits than its factorization.

6938764560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6938764560 is about 83299.2470554206. The cubic root of 6938764560 is about 1907.3367814780.

The spelling of 6938764560 in words is "six billion, nine hundred thirty-eight million, seven hundred sixty-four thousand, five hundred sixty".