6947591040 has 768 divisors, whose sum is σ = 27694517760. Its totient is φ = 1592524800.

The previous prime is 6947591023. The next prime is 6947591083. The reversal of 6947591040 is 401957496.

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 95 ways as a sum of consecutive naturals, for example, 95172444 + ... + 95172516.

It is an arithmetic number, because the mean of its divisors is an integer number (36060570).

Almost surely, 2^6947591040 is an apocalyptic number.

6947591040 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 6947591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847258880).

6947591040 is an abundant number, since it is smaller than the sum of its proper divisors (20746926720).

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

6947591040 is a wasteful number, since it uses less digits than its factorization.

6947591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6947591040 is about 83352.2107685213. The cubic root of 6947591040 is about 1908.1451836309.

The spelling of 6947591040 in words is "six billion, nine hundred forty-seven million, five hundred ninety-one thousand, forty".