6738980625 has 240 divisors, whose sum is σ = 14406638400. Its totient is φ = 3100032000.

The previous prime is 6738980623. The next prime is 6738980641. The reversal of 6738980625 is 5260898376.

6738980625 = 625³ + 626³ + ... + 650³.

It is a happy number.

6738980625 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 9 + 8 + 0 + 625 = 666.

6738980625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6738980625 - 2¹ = 6738980623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6738980623) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48481806 + ... + 48481944.

It is an arithmetic number, because the mean of its divisors is an integer number (60027660).

Almost surely, 2^6738980625 is an apocalyptic number.

6738980625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6738980625 is an abundant number, since it is smaller than the sum of its proper divisors (7667657775).

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

6738980625 is a wasteful number, since it uses less digits than its factorization.

6738980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6738980625 is about 82091.2944531879. The cubic root of 6738980625 is about 1888.8526041505.

The spelling of 6738980625 in words is "six billion, seven hundred thirty-eight million, nine hundred eighty thousand, six hundred twenty-five".