6737808948 has 72 divisors (see below), whose sum is σ = 17056771200. Its totient is φ = 2069174016.

The previous prime is 6737808947. The next prime is 6737808997. The reversal of 6737808948 is 8498087376.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6737808891 and 6737808900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6737808947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151013 + ... + 1156851.

It is an arithmetic number, because the mean of its divisors is an integer number (236899600).

Almost surely, 2^6737808948 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 6737808948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528385600).

6737808948 is an abundant number, since it is smaller than the sum of its proper divisors (10318962252).

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

6737808948 is a wasteful number, since it uses less digits than its factorization.

6737808948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The square root of 6737808948 is about 82084.1577163340. The cubic root of 6737808948 is about 1888.7431289667.

The spelling of 6737808948 in words is "six billion, seven hundred thirty-seven million, eight hundred eight thousand, nine hundred forty-eight".