6737715040 has 96 divisors (see below), whose sum is σ = 18500348160. Its totient is φ = 2270897664.

The previous prime is 6737715031. The next prime is 6737715041. The reversal of 6737715040 is 405177376.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6737714984 and 6737715002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6737715041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15099 + ... + 117061.

It is an arithmetic number, because the mean of its divisors is an integer number (192711960).

Almost surely, 2^6737715040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6737715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250174080).

6737715040 is an abundant number, since it is smaller than the sum of its proper divisors (11762633120).

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

6737715040 is a wasteful number, since it uses less digits than its factorization.

6737715040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102044 (or 102036 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 6737715040 is about 82083.5856916595. The cubic root of 6737715040 is about 1888.7343541600.

The spelling of 6737715040 in words is "six billion, seven hundred thirty-seven million, seven hundred fifteen thousand, forty".